How do you evaluate 8C2?

We have to evaluate the expression 8C2

Solution

To evaluate the expression 8C2 we use the following formula

nCr =n! / r! (n – r)!

n = 8
r = 2

Substitute n and r values in above formula

nCr =n! / r! (n – r)!

8C2= 8! / 2! (10-2)!

8C2= 8! / 2! (6)!

Find the factorial for 8!, 2! & 6!, substitute the corresponding values in the below expression and simplify.

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

=28

Answer

8C2= 28

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