Let \(S\) be a 10-element set.

John randomly picks a 5-element subset \(A\) from \(S\). Then Joel picks a 3-element subset \(B\) from \(S\).

What is the probability that \(B\) is a subset of \(A\)? If the answer is \(\frac {m}{n}\) where \(m, n\) are coprime positive integers find \(m+n\).

This problem is part of the set Easy Problems

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