In my textbook MP is strictly reserved to counting lists. Does what I do below...

Peyton Velez

Peyton Velez

Answered

2022-06-24

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 { Ace, Ann, Beth, Bob } which is the union of { Ace, Bob } { Beth, Ann } . 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 ( 3 2 ) = 8 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 8 2 = ( 3 2 ) 2 = 64 two element lists = teams with two men and two women in each.

Answer & Explanation

Marlee Guerra

Marlee Guerra

Expert

2022-06-25Added 25 answers

it's all good except ( 3 2 ) = 3 (not 8) so the true answer should be 9.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?