Evaluate 6C3

We have to evaluate the expression ⁶ C3

Solution

To evaluate the expression ⁶ C₃ we use the following formula

nCr =n! / r! (n – r)!

n = 6
r = 3

Substitute n and r values in above formula

nCr =n! / r! (n – r)!

^6C3= 6! / 3! (6-3)!

^6C3= 10! / 3! (3)!

Find the factorial for 6! & 3!, substitute the corresponding values in the below expression and simplify.

= 6x 5 X 4 X 3 X 2 X 1 / ( 3×2 X 1) ( 3 X 2 X 1)

=20

Answer

^6C3= 20