SOLUTION: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 7 freshmen, 7 sophomores, 8 juniors, and 8 seniors are eligible to be on the commit

Question 1192163: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 7 freshmen, 7 sophomores, 8 juniors, and 8 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors.
If 7 freshmen, 7 sophomores, 8 juniors, and 8 seniors are eligible to be on the committee,
in how many ways can the committee be chosen?
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In   = 21*35*70*56 = 2881200  different ways.


The structure of the formula is self-explanatory.

Solved.

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This problem is on COMBINATIONS.

On Combinations, see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Fundamental counting principle 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 lessons are 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.

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