what is the value of the expression? 9c3? Question what is the value of the expression? 9c3? in progress 0 All 6 months 2022-05-23T03:15:31+00:00 2022-05-23T03:15:31+00:00 2 Answers 0

## Answers ( 2 )

Answer:The value of the expression is:

84Step-by-step explanation:We have to find the value of the expression:[tex]9_C_3[/tex]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:

[tex]n_C_r=dfrac{n!}{r!(n-r)!}[/tex]

Here wehave :

n=9 and r=3.

Hence the value of the given combination is calculated as:

[tex]9_C_3=dfrac{9!}{3!times (9-3)!}9_C_3=dfrac{9!}{3!times 6!}9_C_3=dfrac{9times 8times 7}{3times 2}9_C_3=84[/tex]

Hence, the value of the expression is:849C3 = 9!/(3!(9-3)!) = 9!/ (3!*6!) = (9*8*7*6!)/(3!*6!) = (9*8*7)/3! = 84