SOLUTION: A family picture is to be taken by lining up the parent at the center, 3 sons on the lft, and 4 daughters on the right. In how many ways can this be done?

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Question 1063543: A family picture is to be taken by lining up the parent at the center, 3 sons on the lft, and 4 daughters on the right. In how many ways can this be done?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
3! permutations for 3 sons on the left, 2! permutations for the parents at the center and 4! permutations for 4 daughters on the right.

In all, 3!*2!*4! = 6*2*24 = 288 ways.


On Permutations, see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".