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? Choose the correct choice from the following answers.
A) 72
B) 68
C) 74
D) 82
E) 48
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!)   Altogether that makes 68.   Answer Choice 68
<result>B</result>
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?