In how many different ways can 3 men and 4 women be placed into two groups of two people and one group of three people if there must be at least one man and one woman in each group? Note that identically sized groups are indistinguishable.
In how many different ways can 3 men and 4 women be placed into two groups of two people and one group of three people if there must be at least one man and one woman in each group? Note that identically sized groups are indistinguishable.
If you only care about gender
FFF MM MWF
MFF MM FF
MFF MF MF
MMF MF FF
MMM FF FF
So I get 1 ways
Take one of the MF groups.
Are there not 12 ways in which that can be set up ?
Any one of three of the men with any one of the four women.