Combinatorics and Graph Theory · Problem 1.5.6

Fundamentals — David Guichard

Mathematics — Combinatorics · integer-solutions

Problem

Find the number of integer solutions to x1+x2+x3+x4+x5=50,x1≥−3,  x2≥0,  x3≥4,  x4≥2,  x5≥12.x_1 + x_2 + x_3 + x_4 + x_5 = 50, \quad x_1 \geq -3,\; x_2 \geq 0,\; x_3 \geq 4,\; x_4 \geq 2,\; x_5 \geq 12.

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