## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Combinatorics

Permutations

Partitions

### Formulas

Binomial coefficient: \( \binom{n}{k} = \frac{n!}{k!(n-k)!} \)

Permutations formula for distinct objects

### Theorems

Basic Counting Principle

Factorial Theorem

### Suitable Grade Level

Grades 10-12

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