# Problem #4

Discrete Mathematics Level 4

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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