Binomial Coefficient

4. Binomial Coefficients:

nC0, nC1, nC2, nC3,….. nCrnCn are called Binomial Coefficients.

Recall the formula for factorial of a number n defined as

n! = n (n – 1) (n - 2 ) (n - 3) (n - 4)……3.2.1

For Eg,
 5! = 5.4.3.2.1 = 120
 4! = 4.3.2.1 = 24
 3! = 3.2.1 = 6
 2! = 2.1= 2
 1! = 1 and note that
 0! = 1

The values of the Binomial Coefficients are determined by the following formula:




Consider the Examples :