Question

There are 9 students in a club. Three students are to be chosen to be on the entertainment committee. In how many ways can this group be chosen?

Answer 1

In `84` ways this group can be chosen .

Explanation:

The number of selections of "r" objects from the given "n" objects

is denoted by `nC_r` , and is given by `nC_r=( n!)/(r!(n-r)!)`

`n=9 , r=3 :. 9C_3=( 9!)/(3!(9-3)!)=(9*8*7)/(3*2)= 84`

In `84` ways this group can be chosen . [Ans]