Following are common definition of Binomial Coefficients.
A binomial coefficient C(n, k) can be defined as the coefficient of X^k in the expansion of (1 + X)^n.
A bi...

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Prerequisite – Combinatorics Basics
Several Counting problems require finding the number of ways to arrange a certain number of distinct elements, where the re...

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Permutation refers to the process of arranging all the members of a given set to form a sequence. The number of permutations on a set of n elements is given by n! , w...

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Fibonomial Coefficient
In mathematics, the Fibonomial coefficients or Fibonacci-binomial coefficients are defined as
where n and k are non-negative integers, 0 "...

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Following are common definition of Binomial Coefficients.
A binomial coefficient C(n, k) can be defined as the coefficient of X^k in the expansion of (1 + X)^n.
A bi...

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Given a positive integer n. The task is to find the sum of square of Binomial Coefficient i.e
nC02 + nC12 + nC22 + nC32 + ……… + nCn-22 + nCn-12 +...

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Given a positive integer n. The task is to find the sum of even indexed binomial coefficient. That is,
nC0 + nC2 + nC4 + nC6 + nC8 + ………..
Exampl...

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Given an integer max, print Binomial Coefficients table that prints all binomial coefficients B(m, x) where m and x vary from 0 to max
Example :
Input : max = 3
Outpu...

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Write a function that takes two parameters n and k and returns the value of Binomial Coefficient C(n, k). For example, your function should return 6 for n = 4 and k =...

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Given a positive integer n, the task is to find the sum of binomail coefficient i.e
nC0 + nC1 + nC2 + ……. + nCn-1 + nCn
Examples:
Input : n = 4
Output :...

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