Binomial Coefficients

nC0, nC1, nC2, nC3,….. nCr… nCn… 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

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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:

binomial coefficients determined by formula