Math Problem Statement

[ \binom{7}{2} \times 2! = \frac{7!}{2!(7-2)!} \times 2 = \frac{7 \times 6}{2 \times 1} \times 2 = 21 \times 2 = 42 ]

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Factorials

Formulas

\binom{n}{r} = \frac{n!}{r!(n-r)!}
r! = r \times (r-1) \times ... \times 1

Theorems

Binomial Coefficient

Suitable Grade Level

Grades 9-12