Smart counting

Probability Level 4

A={1,2,3,4,5}B={6,7,8,9,10}\begin{aligned}\large A&=&\{1,2,3,4,5\} \\ \large B&=&\{6,7,8,9,10\} \end{aligned}

Let f:ABf:A\to B be a function defined on the sets above.

Find the number of non-decreasing functions ff.

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