Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer: 1296 different committees
==========================================================
Explanation:
We have 9 men and we want to select 2 of them. The order doesn't matter. If order did matter, then we would have 9*8 = 72 permutations. Since order doesn't matter, we have instead 72/2 = 36 combinations. The reason why order doesn't matter is because no person outranks another on a committee. Any given seat is the same as anyone else. This is excluding any chairperson of course.
So we have 36 ways to select the men. There are also 36 ways to select the women as well for the exact same steps as listed above. This is due to there being 9 women total and we're selecting 2 of them.
Since there are 36 ways to select the two men, and 36 ways to select the two women, this leads to a total of 36*36 = 1296 different committees
It might help to think of a table that has 36 rows and 36 columns. Each row could represent a different two-person group of men while each column represents a different two-person group of women. The intersection of a given row and column would then form a unique four-person committee. So that may help visually show why there are 36*36 = 1296 different committees (each committee is an inner cell).
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
