2) (a) Recall that a standard deck of cards has 52 cards, consisting of 13 ranks with four suits each. Suppose that you combine two identical standard decks into one superdeck of 104 cards. Count the number of distinct ten-card hands that can be drawn from this superdeck of cards. Define a fuller house to be a ten-card hand with five cards of the same rank, three cards of a different rank, and two cards of another rank. Count the number of ten-card hands that are fuller houses. Note: One cxample of a fuller house is thc hand 44 4% 4♡ 40 40 K♡ K$ K$ A♡ AO.

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