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Combinatoricshard
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Find the number of non-negative integer solutions to x1+x2+x3+x4=10x_1 + x_2 + x_3 + x_4 = 10x1​+x2​+x3​+x4​=10 such that x1≥1,x2≥2,x3≥3x_1 \geq 1, x_2 \geq 2, x_3 \geq 3x1​≥1,x2​≥2,x3​≥3.