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Combinatoricshard
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What is the number of integer solutions to x1+x2+x3+x4=20x_1 + x_2 + x_3 + x_4 = 20x1​+x2​+x3​+x4​=20 with xi≥1x_i \geq 1xi​≥1 and xix_ixi​ being odd?