In my textbook MP is strictly reserved to counting lists. Does what I do below...
In my textbook MP is strictly reserved to counting lists. Does what I do below to count subsets work?
Consider 3 men(Ace, Bob, Corry) and 3 women(Ann, Beth, Candace). Suppose we need to choose a team with 2 men and 2 women in it. An example team is which is the union of So we simply count 2−lists whose first element is a set of two men and whose second element is a set of two women. We get the same number of 2−lists if their first element is a set of two women. There are two-men subsets and that many two-women subsets. So there are 8 choices for the first element and 8 choices for the second one. In all there are two element lists = teams with two men and two women in each.