Bunuel wrote:

A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men or all women?

A) 72

B) 68

C) 74

D) 82

E) 48

Source: Platinum GMAT

Kudos for a correct solution.

First list all the possible combinations of Groups wit F = Female and M = Male:

MMMF

Total Combinations of 16 (4*3*2/3! *4)

FFFM

Total Combinations of 16 (same as above)

FFMM

Total Combinations of 36 (4*3/2! * 4*3/2!)

Alltogether that makes 68.

Answer Choice B

_________________

Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.