There are 14 female board members and 13 male board members. If a committee of 9 members is randomly chosen, what is the probability that the committee has exactly 3 females?
+526 This is a really question so I'll give you some hints...
There're 14 females and 13 males, so total = 27
Commitee of 9 can be chosen in total = \(^{27} C_9\) ways
And, 3 females and 6 males can be chosen = \(^{14} C_3 ×{ ^{13}C_6}\) ways
Hope you got it :)
