How do you evaluate 10c3?

We have to evaluate the expression 10C3

Solution

To evaluate the expression 10C3 we use the following formula

nCr =n! / r! (n – r)!

n = 10
r = 3

Substitute n and r values in above formula

nCr =n! / r! (n – r)!

10C3= 10! / 3! (10-3)!

10C3= 10! / 3! (7)!

Find the factorial for 10!, 7! & 3!, substitute the corresponding values in the below expression and simplify.

= 10 x 9x x8 7x 6x 5 X 4 X 3 X 2 X 1 / (7x 6x 5x 4x 3×2 X 1) (3 X 2 X 1)

=120

Answer

10C3= 120

Leave a Comment

Your email address will not be published. Required fields are marked *

BOOK

Free Class