Evaluate 3C2

We have to evaluate the expression 3C2

Solution

To evaluate the expression C32 we use the following formula

nCr =n! / r! (n – r)!

n = 3
r = 2

Substitute n and r values in above formula

nCr =n! / r! (n – r)!

3C2= 3! / 2! (3-2)!

3C2= 3! / 2! (1)!

Find the factorial for 3!, 2! & 1!, substitute the corresponding values in the below expression and simplify.

= 3 X 2 X 1 / (2 X 1) (1)

= 6/ (2 ) (1)

= 3
3C2= 3

Answer

3C2= 3

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