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?

Question
Answer 1

In #84# ways this group can be chosen .

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]
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