Write a C Program to calculate Binomial coefficient using Recursion

By | March 25, 2017

C Program to calculate Binomial coefficient

Write a C Program to calculate Binomial coefficient using Recursion. Here’s simple Program to calculate Binomial coefficients using Recursion in C Programming Language.

Recursion : :

  • Recursion is the process of repeating items in a self-similar way. In programming languages, if a program allows you to call a function inside the same function, then it is called a recursive call of the function.
  • The C programming language supports recursion, i.e., a function to call itself. But while using recursion, programmers need to be careful to define an exit condition from the function, otherwise it will go into an infinite loop.
  • Recursive functions are very useful to solve many mathematical problems, such as calculating the factorial of a number, generating Fibonacci series, etc.

Binomial Coefficient

Following are common definition of Binomial Coefficients : :

1) A binomial coefficients C(n, k) can be defined as the coefficient of X^k in the expansion of (1 + X)^n.

2) A binomial coefficients 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.

Problem : :

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 = 2, and it should return 10 for n = 5 and k = 2.

Below is the source code for C Program to calculate Binomial coefficient using Recursion which is successfully compiled and run on Windows System to produce desired output as shown below :



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