# Whose Shoe Is It, Anyway?

5 people attend a party. At the end of the night, they each randomly grab a left shoe and a right shoe. The probability that each person leaves with exactly one of their own shoes can be expressed as $$\frac {a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a+b$$?

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