How do you evaluate 8C3?

We have to evaluate the expression 8C3

Solution

To evaluate the expression 8C3 we use the following formula

nCr =n! / r! (n – r)!

n = 8
r = 3

Substitute n and r values in above formula

nCr =n! / r! (n – r)!

8C3= 8! / 3! (8-3)!

8C3= 8! / 3! (5)!

Find the factorial for 8! , 5!& 3!, substitute the corresponding values in the below expression and simplify.

= 8 x 7 x 6x 5 X 4 X 3 X 2 X 1 / (5 x 4x 3×2 X 1) (3 X 2 X 1)

=56

Answer

8C3= 56

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