Write a program that accepts an integer n and returns the value nc1 + nc2 + nc3 +....ncn (using 3 functions )? solve by c code.
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Explanation:
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 binomial coefficient C(n, k) also gives the number of ways, disregarding order, that k objects can be chosen from among n objects; more formally, the number of k-element subsets (or k-combinations) of an n-element set.
Given two numbers n and r, find value of nCr
Examples :
Input : n = 5, r = 2
Output : 10
The value of 5C2 is 10
Input : n = 3, r = 1
Output : 3
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