Find all possible combinations of numbers Free online Combinations Calculator (nCr) - Calculate the number of possible combinations when selecting items from a set. Our combinations without repetition calculator finds the number of combinations without repetitions that are possible given the total number of objects and the sample size. I get the variable n via this code: Learn how to use the COMBIN Function in Excel to return or calculate all combinations (in any order) of a given number of items. Select 3 unique items from a list of 7 items. I need to list out all possible combinations of a list of these numbers. How to calculate combinations? Combinations To calculate combinations, divide the factorial of n by the product of the factorials of r Jan 8, 2011 · How would you go about testing all possible combinations of additions from a given set N of numbers so they add up to a given final number? A brief example: Set of numbers to add: N = {1,5,22,15,0 Combinations and Permutations Calculator You can use this combinations and permutations calculator to quickly and easily calculate the number of potential combinations and permutations of r elements within a set of n objects. We can apply similar ideas to solve other problems. One particularly useful function is the ability to find all possible combinations of a set of items. If you need all possible combinations of 14 values of 1 and 0, it's like generating all possible numbers from 0 to (2^14)-1 and keeping the binary representation of them. Only numbers from 1 to 9 can be used, and each number may appear at most once in a combination. Oct 3, 2015 · I want to find out the number of possible combinations of $x$ numbers that sum to $y$. I need to get all combinations of these numbers that have a given sum, e. Can you solve this real interview question? Combination Sum III - Find all valid combinations of k numbers that sum up to n such that the following conditions are true: * Only numbers 1 through 9 are used. For combinations of all possible lengths, see Get all possible (2^N) combinations of a list’s elements, of any length . Note: This is an excellent problem for learning problem-solving using the inclusion and exclusion principle of combinatorics and backtracking. Introduction Excel is a powerful tool that offers a wide range of functions for data analysis and manipulation. Given two numbers, n and K, write a program to find all possible combinations of K numbers from 1 to n. Is there a math principle that describes why this is? Aug 1, 2023 · Leet Code Solution : 77. Example 1: Input: n = 4, k = 2 Output: [[1,2],[1,3],[1,4],[2,3],[2,4],[3,4]] Explanation: There are 4 choose 2 = 6 total combinations. It's perfect for students, teachers, or anyone interested in math. The total number of possible combinations, as shown in Combinatorics – combinations, arrangements and permutations, is . Any help? Jun 24, 2015 · I'm looking for an efficient way to achieve this: you have a list of numbers 1. It’s a Given two integers n and k, return all possible combinations of k numbers chosen from the range [1, n]. Syntax SumUp is a simple tool that shows all possible combinations of numbers that add up to a given sum. Other uses include solving mathematical problems and games of chance. 0) Apr 26, 2025 · The idea is to use a recursive approach to construct these combinations by starting with an empty combination and gradually building it up, considering each number in the range from 1 to n. Consider a set with size $n$. cs using System; namespace CombinationAlgorithm { class Program { static void Main (string [] args) { //Decalring an array of double contains the values of [50, 712, 578, 971, 3548, 964221. Aug 1, 2025 · Find the combination with replacement, number of ways of choosing r unordered outcomes from n possibilities as unordered samples with replacement. Whether you’re working on a mathematical problem, planning a project, or trying to understand probabilities, being able to calculate the number of possible combinations can be incredibly useful. Ideal for math enthusiasts and programmers. By inputting the Jan 5, 2012 · Find a set of amounts that match a target value There are instances when one wants to figure out which elements of a set of numbers (amounts) total to a target value. Discover our user-friendly Combinations Calculator and comprehensive guide to understanding combinations, their formula, real-world applications, and related mathematical concepts in combinatorial mathematics. For example, if we are given input ‘5’, these are the possible sum combinations. The KwCombinatorics library are 3 classes that provide 3 different ways of generating ordered (ranked) lists of combinations of numbers. com Use our free combination sum calculator to find all number combinations that equal your target. In this example, we have a list of numbers, and the objective is to identify which combinations from this list sum up to 480. In today's data-driven world, the ability to manipulate and analyze numbers effectively is crucial. Plus, you can even choose to have the result set sorted in ascending or descending order. Algorithm: The combinations calculator helps you determine the number of possible combinations that can be created by selecting items from a larger set. Feb 20, 2025 · Learn how to find all number combinations that sum to a target in Google Sheets. Example 2 Oct 3, 2025 · Combination Calculator Knowing how many combinations you can make with your set of data can be very useful. Jun 29, 2022 · This combination calculator, or nCr calculator, helps you calculate the number of combinations or permutations in a set (often denoted as nCr) and generates the list of every single possible combination or permutation (up to the length of 20 elements). Combination Generator is a free online tool to list all possible combinations with random or sorted order by input from one or two lists of items. Do you want to list all of the combinations, or do you simply want to know how many there are? Looking for random numbers for research or sampling? This online random number combination generator lets you generate multiple combinations of random numbers between a range (x, y). Supposing, there is a list of numbers (whole numbers, decimal numbers or negative numbers), and now, you want to find all possible combinations from these numbers that equal a given sum. Apr 6, 2024 · Linear Interpolation Bilinear Interpolation Possible Combinations Possible Permutations Feb 12, 2014 · Calculate all possible combinations of given characters Ask Question Asked 11 years, 9 months ago Modified 10 years, 11 months ago. lottery numbers) 35 (~ 35. Your task is to find all possible combinations of k numbers chosen from the range [1, n]. 2 simple Power Query solutions. For example, if you have a list of the numbers 1, 2, and 3, and you want to find all combinations of three elements with repetition, you would use the following code: python from itertools import combinations_with Oct 14, 2016 · Python. 0) If order matters (e. Enter the sum in the first box and the numbers in the second box. g. This calculator simplifies the task of generating all possible combinations between two lists, making it a useful tool for educators, students, and professionals across various fields. Let's discuss certain ways in which this problem can be solved. The tool supports generating all possible combinations by the following types: unique, random, sorted by input, grouped by first or second list, or just select a fixed number of random pairs. Data integrity: With a large number of combinations, it's essential to ensure the integrity and accuracy of the data generated. By simply entering the number of items and the number of selections you wish to make, it calculates the possible combinations using this formula. 5 or 1. * Each number is used at most once. Whether you're organizing a team, planning a lottery, or solving combinatorial puzzles, this calculator makes it easy. Note that combinations are unordered, i. This can have application in mathematics domain. Learn combinatorial rules for finding the number of possible combinations. Dec 26, 2018 · I need all the combinations of the numbers in a given array, that sum up to a given number. Method #1 : Using list comprehension + product () This task can be performed using list comprehension which can be used to iterate the container Dec 24, 2020 · The second (4), is how many of those things in arr (e. Is there a function I can write/use that does this automatically instead of doing it manually? Jun 16, 2013 · I would like to find all combinations with: 1) the combination a1 a2 vein the same as a2 a1 and so on 2) the number of elements per result set not being fixed: a combination possibility is per example merging all lists into one. Apr 6, 2023 · Sometimes, while working with Python tuples, we might have a problem in which we need to generate all possible combination pairs till N. 25, 7414]; double [] doubleSeries = new Mar 30, 2014 · I want to print all possible combination of 3 numbers from the set (0 n-1), while each one of those combinations is unique. Mar 5, 2024 · Here, the function find_combinations generates all combinations of the list my_list and filters those which meet the lambda function condition, namely the sum of the combination is less than 5. The letters should be all capitalized and the combination should be letters and numbers alternately. Apr 17, 2025 · Learn how to list or generate all possible combinations in Excel using formulas, VBA, or a powerful tool for efficient data manipulation. Jul 30, 2013 · With a list of about 60 numbers, it seems to find a dozen or more combinations for any total that's reasonable. The same number may be chosen from candidates an unlimited number of times. 3 This is a different approach to the previous answers. All of the combinations are turned into a list using list, then set to a variable named combos. Then click on 'download' to download all combinations as a txt file. These combinatorics are useful for software testing, allowing the generation of various types of possible combinations of input. Number combinations are stored in basic text files with approximately 50K - 1M number combinations per file so that you can easily open them in any word processor or Excel. Unlike quick pick generators that may never generate a winning combination the next In the world of mathematics and probability, the concept of combinations plays a vital role in solving various problems. In short, giving the total possible number of possible groups for a given number of items. Example walkthrough: 1 How can I find all the possible combination in Java of a set of numbers for example: The KwCombinatorics library are 3 classes that provide 3 different ways of generating ordered (ranked) lists of combinations of numbers. Basically, I have numbers 1-5 in one row. I know that there are other questions like mine but the only problem is that they get all the combinations for all of the varibales in list but I want it so that the user enters the number that the Mar 5, 2019 · Algorithm to find all possible combinations given the length of the number and what numbers are available Mar 5, 2019 at 2:20pm John Davis (34) I explain the question a bit more here. Total possible combinations: If order does not matter (e. Permutations vs combinations The difference between combinations and permutations is that permutations have stricter requirements - the order of the elements matters, thus for the same number of things to be selected from a set, the number of possible permutations is always greater than or equal to the number of possible ways to combine them. Identify r from the given information. Dec 10, 2022 · It is not possible to write a DAX script that finds all possible combinations of numbers that can be equal to a specific value, such as 480. Replace n and r in the formula with the given values. This function takes two arguments: the list you want to find combinations of, and the number of elements in each combination. Unlock Excel's potential for endless number combinations! Tips on formulas and VBA to enhance your combination skills. N choose K calculator online to calculate how many combinations with N numbers are possible. Jul 23, 2025 · Your All-in-One Learning Portal: GeeksforGeeks is a comprehensive educational platform that empowers learners across domains-spanning computer science and programming, school education, upskilling, commerce, software tools, competitive exams, and more. Today we will discuss how to generate all possible combinations of a set of numbers in Excel. Click on Go to generate multiple sets of The combination generator creates all possible combinations from a set of input elements. In the world of mathematics and probability, the concept of combinations plays a vital role in solving various problems. 3 items give 6 Sep 8, 2010 · hi. pick3 numbers, pin-codes, permutations) 210 (~ 210. Use this password combination calculator to compute the total number of possible unique passwords that can be created using a specific set of characters. It’s equal to the binomial coefficient: For example, let’s assume we have a set containing 6 elements, and we want to generate 3-element Jun 24, 2015 · I'm looking for an efficient way to achieve this: you have a list of numbers 1. That is, combination here refers to the combination of n things taken m at a time without repetition. Combinations replacement calculator and combinations formula. Find all possible combinations of numbers with set length Asked8 years, 6 months ago Modified 8 years, 6 months ago Viewed 8k times 3 Online permutations generator Permutates (Wikipedia) the word entered in your browser to give all possible orders of a given combination of characters. I get the variable n via this code: 71 I have a list of integers List<int> in my C# program. combinations — This is what we imported from itertools that does the dirty work behind the scenes. 7 or so - reasonably small, but can vary from case to case) you need all combinations of Jul 12, 2025 · The outer loop iterates through all possible combinations (from 1 to 2^n - 1), and the inner loop checks each bit of the number to decide which elements to include. The number of results gets large very quickly (n!), e. To avoid duplicate outputs when the input has duplicate elements, see Python combinations without repetitions Sep 26, 2025 · The idea is to sort the array and explore all possible combinations of numbers that add up to the target. To use the combinations generator below Discover endless possibilities with our All Possible Combinations Generator. Try it now! Use our possible combinations calculator to know how many combinations are possible, given a total number of objects and a sample size. Calculate Combinations and Permutations in Five Easy Steps: 1. One instance where this may be necessary is for a company that receives a check for outstanding accounts receivable (A/R) bills but doesn't have matching documentation indicating what bills are being paid. For example, I want to calculate all combination of 5 numbers, which their sum equals to 10. , [1,2] and [2,1] are considered to be the same combination. If at any point the target becomes zero, it means we have found a valid combination. May 11, 2023 · The given program finds all possible pairs from a given list of numbers that add up to a given target value. You may return the answer in any order. Enter Target Sum: Specify the target value you want the combinations to add up to. Dec 29, 2024 · Use this Combination Sum Calculator to find all possible combinations of numbers that add up to a target sum. Excel template using The possible number of arrangements for all n people, is simply n!, as described in the permutations section. Oct 2, 2024 · Practically, the limit is determined by the computational resources available, as more items mean exponentially more combinations to compute. It’s equal to the binomial coefficient: For example, let’s assume we have a set containing 6 elements, and we want to generate 3-element May 7, 2013 · Basically I want it to go through the cell array and find all possible combinations of those additions that will allow me to get from matrix a to matrix b. For instance for size 4, $\ {a,b,c,d\}$, where the elements are integers. If you still have doubts about the Calculate combinations (nCr) with this easy-to-use tool. On the other hand, if the target goes negative, we backtrack and discard that path. A combination is a selection of items where the order doesn't matter. Combination calculator helps you to find all the number of possible combinations from a set with formula and example. To determine the number of combinations, it is necessary to remove the redundancies from the total number of permutations (110 from the previous example in the permutations section) by dividing the redundancies, which in this case is 2!. Combination Sum Calculator Find all combinations from a given set of numbers that add up to a given sum. Aug 13, 2016 · C# Numbers Combination Algorithm (Find all possible numbers combinations to reach particular given sum) Raw Program. or each element in a list of its own or merging two elements in a list and the rest in another. Use the combinations calculator to determine the number of combinations for a set. Note that this is not simply a matter of iterating over the possible lengths and combining the results, as there are other reasonable approaches to the problem. Aug 1, 2025 · The Combinations Calculator will find the number of possible combinations that can be obtained by taking a sample of items from a larger set. We also show an example of how to calculate combinations without repetition. This is because the number of possible combinations can be very large, and DAX is not designed to handle such large datasets. Sep 27, 2021 · I need to find all the combinations in a list of numbers and to each combination to substract (or add, multiply, or divide) a value AND then to find which result sums to a specific value. Instead, you can use a different approach to solve this problem. For example, in the array a = {0,1,2,3,4,5,6,7,8,9), to get a number N = 56, it should return, among all the options, also the list "8,8,8,8,8,8,8". In other words: Aug 15, 2024 · The Excel COMBIN Function Objective determines the total possible number of combinations in a given number of items. Enter Numbers: Provide a list of numbers separated by commas. Identify n from the given information. The mathematical solution to find the number of -combinations is straightforward. . All Possible Number Combinations We've generated every possible number combination for most lottery games in the US and around the world. Find out how many different ways to choose items. numbers = [1, 2, 3, 7, 7, 9, 10] As you can see, numbers may appear more than once in this list. Oct 3, 2018 · How to find all the combinations that adds up to a certain number, given the number of elements? For example if target $T$ is $ 100 $ and number of elements is $2$. Unlike quick pick generators that may never generate a winning combination the next Note that there are 64,000 possible combinations on a master lock (0-39 makes 40 possible values on each digit, there are 3 digits). All possible combinations are explored by recursively including or excluding each number and backtracking as needed. One such problem is finding combinations of numbers that equal a given sum. These numbers will be used to compute possible combinations. You may return the combinations in any order. g — our list of numbers, strings, whatever) that we want to combine. For example, [1, 2] and [2, 1] are considered the same combination. Sep 24, 2008 · The algorithm in C Index of Combinations in Lexicographical Order (Buckles Algorithm 515) You can also reference a combination by its index (in lexicographical order). For example, you could use a programming language like Python to In English we use the word combination loosely, without thinking if the order of things is important. Combination Sum – Problem Statement Given an array of distinct integers candidates and a target integer target, return a list of all unique combinations of candidates where the chosen numbers sum to the target. Sep 3, 2024 · Sum Combination Calculator Enter numbers (comma separated): Enter target sum: Calculate Combinations Learning how to calculate combinations is key in math, probability, and discrete structures. Free online combinations calculator. Method 2: Recursive Approach The recursive approach builds combinations by adding or not adding each element recursively and applying the condition at each step to filter unwanted combinations. Click on Go to generate multiple sets of Calculate combinations (nCr) with this easy-to-use tool. Return a list of all possible valid combinations. Oct 3, 2025 · The idea is to explore all possible combinations of numbers that add up to the target. Please explain the algorithm used for that. I was expecting a single combination to satisfy my total, or maybe a few possibilities, but there always seem to be a ton of combinations. Combinations Description: Given two integers n and k, find all possible combinations of k numbers chosen from the range [1, n]. 10. It may take a while to generate large number of combinations. This is where a Letter Combination Calculator comes in handy. Select whether you want unique numbers or if the numbers may repeat. Discover practical methods to solve this common spreadsheet challenge easily. This is a little inaccurate since there is a little tolerance in entering a number (38 or 36 usually works for 37, for instance), but it works for showing how much we'll narrow it down. By inputting the Jul 24, 2025 · Learn about mathematical combinations and permutations and discover tips, formulas and examples to help you calculate how many combinations you have. This combination generator will quickly find and list all possible combinations of up to 7 letters or numbers, or a combination of letters and numbers. Is there a general formula for finding all the sets of products of all combinations of 1, 2, 3 The COMBIN function is used to return the total number of possible combinations for a given set numbers of items without repetitions. For each element, we reduce the target by its value and continue the process recursively. Sep 16, 2022 · 1. Mar 18, 2025 · Discovering all possible combinations of numbers within a list that add up to a specific sum is a challenge that many Excel users might encounter, whether for budgeting, planning, or data analysis purposes. For an in-depth explanation of the formulas please visit Combinations and Permutations. For example, if you have a set from 3 elements, {A, B, C}, the all possible combinations of size 2 will be {A,B}, {A,C} and {B,C}. Evaluate. However, I know the number of items I have in my list only at runtime. Oct 15, 2025 · Problem Statement # Given a positive integer, target, print all possible combinations of positive integers that sum up to the target number. Excel stands out as a powerful tool in this arena, particularly for solving complex numerical problems. Combination Calculator Use this nCr calculator to easily calculate the number of combinations given a set of objects (types) and the number you need to draw from the set. You simply enter your items (which can be letters, numbers, words, or even sentences) into the input box, specify how many items you want in each combination, and the tool generates all possible unique combinations. Most of the algorithms I find don't allow repetitions in the result, and the ones that do, are not in C#. Supports repetition, instant results, and step-by-step solutions. Complexity: The number of combinations grows exponentially with the size of the dataset, making it difficult to handle and analyze all possible combinations. i want to find all the possible combinations of 8 characters including letters and numbers. Realizing that the index should be some amount of change from right to left based on the index we can construct something that should recover a combination. Combinations generator This online calculator generates all possible combinations of items from different sets/lists How To: Given a number of options, determine the possible number of combinations. Enter items, hit generate, and see every combination instantly. If you switch on the advanced mode of this combination calculator, you'll find the number of permutations. Jun 22, 2022 · Still the problem that JohnTopley specified are still valid, you find a combination that adds up to given number but is this the combination you are looking fore? Mar 18, 2024 · In this tutorial, we’ll learn about different algorithms to generate all -element subsets of a set containing elements. e. It uses the two-pointer technique, where two pointers traverse the sorted list from left and right simultaneously. Jan 12, 2023 · This post explores how to list all possible combinations from multiple lists in Excel (known as a cartesian join). Select the total numbers to generate, lowest value of the range and the highest value of the range. In the next section, we present the formula for combinations without repetition, which is the one this calculator uses. Combinations Calculator calculates the number of ways of selecting r outcomes from n possibilities when the order of the items chosen in the subset does not matter. Let us say, for the sake of simplicity, my list is {1, 2, 3} Now I need to generate all possible combinations as follows. It eliminates the need for manual calculations and complex factorial math, making it perfect for professionals and students alike. The Possible Combinations Calculator automates this process for you. This guide will cover the basics, formulas, and tips for adding up combinations. Use this tool to see your data set's number of possible unique combinations and repetitive combinations. n (typically: 1. Jul 21, 2024 · Excel has a great impact on our daily life. Learn how to calculate combinations in a counting or probability problem using a formula. The order of the numbers in each Oct 7, 2025 · Given two integers, n and k, find all possible unique combinations of k numbers whose sum equals n. Usage/Settings: Type or paste your word or number into the field below and hit the button to get the permutations of all the characters as a comma-separated list below. This problem is referred to as -combinations. I have to write a code which produces and print all different combinations of k people from these n. Mar 18, 2024 · In this tutorial, we’ll learn about different algorithms to generate all -element subsets of a set containing elements. Input the total number of items (n) and items to choose (r) to find all possible combinations quickly and accurately. Basically, it shows how many different possible subsets can be made from the larger set. Each subset is added to the res array, which is returned after processing all combinations. The Number of Possibilities Calculator is a fast, accurate, and user-friendly solution for anyone needing to compute combinations in just a few clicks. and so on. See full list on statskingdom. The function should return a list of all valid combinations, and you may return them in any order. Click on Go, then wait for combinations to load. Whether you are working with a list of products, variables, or any other set of items, being able to find a Aug 15, 2024 · The Excel COMBIN Function Objective determines the total possible number of combinations in a given number of items. There are n people numbered from 1 to n. Used for probability, statistics, lottery odds, and combinatorial problems. rjzh mke abusc vdhvp lcpgv dsd vogp ukp vvifon jtyii jqbax idmy sfh rjns bbcudl