Binomial Coefficient

4. Binomial Coefficients:

ⁿC₀, ⁿC₁, ⁿC₂, ⁿC₃,….. ⁿC_r… ⁿC_n 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,
&nbsp5;! = 5.4.3.2.1 = 120
&nbsp4;! = 4.3.2.1 = 24
&nbsp3;! = 3.2.1 = 6
&nbsp2;! = 2.1= 2
&nbsp1;! = 1 and note that
&nbsp0;! = 1

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

Consider the Examples :