# Number of solutions of an inequality

Discrete Mathematics Level 3

Find the number of ordered 6-tuples of integers $$a_1,a_2,a_3,a_4,a_5,a_6$$ satisfying

$0 \leq a_{1} \leq a_{2} \leq a_{3} \leq \dots \leq a_{6} \leq 5.$

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