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Euchre is played with a deck of 24 cards that is similar to a standard deck of 52 playing cards, but with only the ace,

Euchre is played with a deck of 24 cards that is similar to a standard deck of 52 playing cards, but with only the ace, 9, 10, jack, queen, and king for all four suits.

How many different four-card hands are there with at least three hearts?

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