Combinatorics and Graph Theory · Problem 2.1.2

Inclusion-Exclusion — David Guichard

Mathematics — Combinatorics · inclusion-exclusion-integer-solutions

Problem

Find the number of integer solutions to

x_1 + x_2 + x_3 + x_4 = 25

1 \leq x_1 \leq 6

2 \leq x_2 \leq 8

0 \leq x_3 \leq 8

5 \leq x_4 \leq 9