Question

What is the value of the expression?

9c3?

Answer 1

9C3 = 9!/(3!(9-3)!) = 9!/ (3!*6!) = (9*8*7*6!)/(3!*6!) = (9*8*7)/3! = 84

Answer 2

The value of the expression is:

84

Step-by-step explanation:

We have to find the value of the expression:

`9_C_3`

i.e. we have to find the value of the combination.

We know that a combination of r choices out of n given objects is calculated as:

`n_C_r=(n!)/(r!(n-r)!)`

Here wehave :

n=9 and r=3.

Hence the value of the given combination is calculated as:

`9_C_3=(9!)/(3!* (9-3)!)\\\\9_C_3=(9!)/(3!* 6!)\\\\9_C_3=(9* 8* 7)/(3* 2)\\\\9_C_3=84`

Hence, the value of the expression is:

84