Math Problem Statement
8 freshmen, 9 sophomores, 10 juniors, and 8 seniors are eligible to be on a committee.
In how many ways can a dance committee of 17 students be chosen? 3,262,623,600
In how many ways can a dance committee be chosen if it is to consist of 5 freshmen, 6 sophomores, 2 juniors, and 4 seniors.
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Combination Formula
Formulas
Combination formula: C(n, r) = n! / [r!(n-r)!]
Theorems
Combination Theorem
Suitable Grade Level
Grades 10-12
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