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The Number of the Solutions

Source: 1985 National High School Mathematics League, Exam One, Problem 8

February 23, 2020

Problem Statement

The number of nonnegative solutions to the equation 2x1+x2+x3+x4+x5+x6+x7+x8+x9+x10=32x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}=3 is________.
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