How many integral solutions are there to the system and

MATHEMATICS · Subjective · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

How many integral solutions are there to the system x1+x2+x3+x4+x5=20x_1+x_2+x_3+x_4+x_5=20 and x1+x2=15x_1+x_2=15, where xi≥0x_i\ge0?

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