A committee of people is to be selected from a group of 5 men and 4 women. Assuming that the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?
Please answer and explain with steps.
by 
AV04
ANSWERS: 1
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3 men can be chosen from 5 men in 5C3 ways i.e. 5!/3!2! => 10 ways 2 women can be chosen from 4 women in 4C2 ways i.e. 4!/2!2! = 6 ways Choice of men and women are independent so we have 10 x 6 = 60 ways In total we are choosing 5 people from 9 people => 9C5 ways i.e. 9!/5!4! = 630 Hence, probability is 60/630 = 2/21 => 9.5% :)>
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