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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?

 Jun 18, 2021
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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 :) 

 Jun 19, 2021

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