HMMT 2020 C7
- Combinatorics
- Answer
Anne-Marie has a deck of 16 cards, each with a distinct positive factor of 2002 written on it. She shuffles the deck and begins to draw cards from the deck without replacement. She stops when there exists a nonempty subset of the cards in her hand whose numbers multiply to a perfect square. What is the expected number of cards in her hand when she stops?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{837}{208}
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