Math Problem Statement

1.    Find the number if nonnegative integer solution to the equation.

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Non-negative Integer Solutions
Stars and Bars Theorem

Formulas

The number of non-negative integer solutions to x1 + x2 + ... + xn = r is given by the combination formula C(r + n - 1, n - 1).

Theorems

Stars and Bars Theorem

Suitable Grade Level

Grades 10-12