A committee of three people
Combo box arrangement
is to be chosen from 4 married couples.
Bag of 8 to choose from.
What is the number of different committees that can be chosen
Start filling in combo box arrangement.
First position has 8 choices.
if two people who are married to each other cannot both serve on the committee?
but the spouse gets eliminated, too.
Second position has 6 choices.
but another spouse gets eliminated.
Third position has 4 choices.
(8)(6)(4)/3! = 8*4 = 32