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Tricks to Solve Permutation and Combination
Last Updated: 10 March 2026
Permutations and combinations are essential topics in probability and quantitative aptitude, widely applicable in both competitive exams and everyday problem-solving. Mast...
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Mathematics
School Learning
Permutation and Combination
Maths
placement
Sum of Binomial Coefficients Formula and Proof
Last Updated: 18 October 2025
The 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 exam...
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Mathematics
School Learning
Permutation and Combination
Maths
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...
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Mathematics
School Learning
Permutation and Combination
Maths
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^{...
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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...
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Mathematics
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...
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Mathematics
School Learning
Permutation and Combination
Maths
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...
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Mathematics
School Learning
Permutation and Combination
Maths
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...
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Mathematics
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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 ...
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Mathematics
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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 ...
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Mathematics
School Learning
Permutation and Combination
nPr Formula
Last Updated: 08 August 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! / (nār)...
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Mathematics
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Geeks Premier League
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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 ā Y), which denotes X...
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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...
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Mathematics
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Class 11
Permutation and Combination
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Combinatorics
Last Updated: 06 June 2026
Combinatorics is a branch of mathematics that deals with counting, arranging, and selecting objects. It studies finite discrete structures and helps in solving problems re...
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Mathematics
QA - Placement Quizzes-Permutation and Combination
Permutation and Combination
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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...
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Mathematics
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