SOLUTION: From a group of 8 men and 7 women, a committee of 4 is chosen. What is the probability that 2 men and 2 women will be chosen? Please show all of the steps for solving, thanks.

Algebra ->  Permutations -> SOLUTION: From a group of 8 men and 7 women, a committee of 4 is chosen. What is the probability that 2 men and 2 women will be chosen? Please show all of the steps for solving, thanks.      Log On


   



Question 597895: From a group of 8 men and 7 women, a committee of 4 is chosen. What is the probability that 2 men and 2 women will be chosen? Please show all of the steps for solving, thanks.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Combination=nCr=n!/((n-r)!r!)
(8C2*7C2)/(15C4)
=(28*21)/1365
=28/65 the probability that 2 men and 2 women will be chosen.
.
Ed
.
Ed