In how many different ways can 3 men and 4 women be placed into one group of three people and one group of four people if there must be at least one man and one woman in each group?
+129899 Here's my approach to this one
We only need to consider the group of three.......the other group of 4 will meet our requirement automatically
Case 1 - 2 men and 1 woman in the group of 3
We have the choice of (3 men x 2 men x 4 women) = 24 groups
Case 2 - 1 man and 2 women in the group of 3
We have the choice of (3 men x 4 women x 3 women ) = 36 groups
So
24 + 36 = 60 ways
