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We have a poker deck of 52 cards. Abby randomly shuffles the card, and divides it...

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Advance Math

We have a poker deck of 52 cards. Abby randomly shuffles thecard, and divides it into 13 piles of 4 cards each. Use Hallmarriage theorem to show that it is possible to pick a card fromeach pile, so that you get all 13 numbers from A to K.

Answer & Explanation Solved by verified expert
3.6 Ratings (607 Votes)
Consider the bipartite graph where LHS corresponds to the 13piles and RHS corresponds to the 13 ranksPut an edge from a pile to the rank if the pile contain at leastone card of the rankAt first this appears to be a special case for    See Answer
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