SOLUTION: A high school graduating class has 400 members. The principal must select student chairs of (1) graduation ceremony committee, (2) senior gift committee, and (3) senior outing

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Question 1169740: A high school graduating class has 400 members. The principal must select
student chairs of (1) graduation ceremony committee, (2) senior gift committee,
and (3) senior outing committee. If no student can chair more than one
committee, how many ways can the principal select these chairs?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

In 400*399*398  ways.


This time the positions are DISTINGUISHABLE,

so the order DOES MATTER.


Therefore, we use PERMUTATIONS, and do not use combinations.



Why the formula goes in this way, I just EXPLAINED several times in my previous posts.

Happy learning (!)

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See the lesson
    - Special type permutations problems
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 lesson is the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.