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