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Permutation and Combination

146+ posts

Tricks to Solve Permutation and Combination

Last Updated: 30 July 2025

Permutations and combinations are essential topics in probability and quantitative aptitude, widely applicable in both competitive exams and everyday problem-solving. Mast...read more

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School Learning

Permutation and Combination

Sum of Binomial Coefficients Formula and Proof

Last Updated: 23 July 2025

Sum of binomial coefficients is the total of all binomial coefficients that appear in the expansion of expressions like (a+b)n for a non-negative integer n. For example, i...read more

School Learning

Permutation and Combination

Recursive Formula of Binomial Coefficient

Last Updated: 23 July 2025

Recursive formula for the binomial coefficient is based on Pascal's triangle, where each entry is the sum of the two entries directly above it.Let n and k be integers such...read more

School Learning

Permutation and Combination

Approximation using Binomial Expansion

Last Updated: 23 July 2025

The binomial theorem gives the expansion of expressions of the form (a + b)n where n is a positive integer. The general form is:(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{...read more

School Learning

Permutation and Combination

Restricted Combination

Last Updated: 23 July 2025

Combinatorics is a branch of mathematics that deals with counting, arranging, and combining objects. Combinations are one of the fundamental topics in combinatorics, where...read more

School Learning

Permutation and Combination

Binomial Theorem For Positive Integral Indices

Last Updated: 23 July 2025

Binomial Theorem is a helpful rule in mathematics that lets us expand expressions like (a+b)n, where n is a whole number greater than zero. This theorem tells us that when...read more

School Learning

Permutation and Combination

Permutations and Combinations of a Multiset

Last Updated: 23 July 2025

When dealing with a multiset, the principles of permutations and combinations changes and formula for these also change. Unlike traditional sets, multisets allow for dupli...read more

School Learning

Permutation and Combination

Difference between nCr and nPr

Last Updated: 23 July 2025

When studying permutations and combinations in mathematics, two essential concepts often arise: nPr and nCr. These terms are used to describe different ways of selecting a...read more

School Learning

Permutation and Combination

Maths-Difference-Between

Does Order Matter in Permutations

Last Updated: 23 July 2025

Answer: Yes, Order Matters in Permutations.What is Permutation?In mathematics, a permutation is an arrangement of a set of objects in a particular order. Each permutation ...read more

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School Learning

Permutation and Combination

Permutations: When all the Objects are Distinct

Last Updated: 23 July 2025

Permutations, when all objects are distinct, involve arranging unique items in a specific order without repetition. Each object maintains its individual identity, leading ...read more

School Learning

Permutation and Combination

Last Updated: 24 July 2025

nPr formula is used to find the number of ways in which r different things can be selected and arranged out of n different things. The nPr formula is, P(n, r) = n! / (n−r)...read more

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School Learning

Geeks Premier League

Permutation and Combination

Geeks Premier League 2023

Find the number of subsequences of N friends

Last Updated: 29 January 2024

Given two arrays A[] and B[] of length N and M respectively. A[] represents the age of N friends and B[] contains M number of pairs in the form of (X → Y), which denotes X...read more

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Geeks Premier League

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Algorithms-InsertionSort

Permutation and Combination

Pigeonhole Principle

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Geeks Premier League 2023

nCr| Combinations Formula

Last Updated: 23 July 2025

nCr represents the number of ways to choose r items from a set of n distinct items without regard to the order of selection. Combinations Formula is one of the countless f...read more

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School Learning

Permutation and Combination

Last Updated: 23 July 2025

Combinatorics is a branch of mathematics that focuses on studying the selection, arrangement, and operation of countable discrete structures. This is essential in computer...read more

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Engineering Mathematics

School Learning

QA - Placement Quizzes-Permutation and Combination

Permutation and Combination

Discrete Mathematics

Circular Permutation

Last Updated: 23 July 2025

Circular Permutation is an arrangement notion in which the objects are arranged in a closed loop. The beginning and end points are ambiguous, in contrast to linear layouts...read more

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School Learning

Permutation and Combination

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