Math Problem Statement
A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways can this be done if there are 33 Democratic senators and 67 Republican senators?
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Counting
Combinations
Formulas
Combination formula: C(n, r) = n! / (r!(n-r)!)
Theorems
Basic principles of combinations and counting
Suitable Grade Level
Grades 10-12
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