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! .
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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