A euchre hand contains 5 cards. How many ways are there to receive a 5 -card hand

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A euchre hand contains 5 cards. How many ways are there to receive a 5 -card hand (where the order in which the cards are received doesn't matter, i.e., \(90, \mathrm{~J}, \mathrm{~K}, 9,10\) is the same as \(9, \mathrm{~J}, 90, \mathrm{~K}, 10 \mathbf{)}\) )?

The following exercise are about the card game euchre, which uses a partial standard deck of cards: it only has the cards with ranks \(9,10, \mathrm{~J}, \mathrm{Q}, \mathrm{K}\), and A (for a total of 24 cards). Some variations of the game use the \(8 \mathrm{~s}\) or the \(7 \mathrm{~s}\) and \(8 \mathrm{~s}\), but we'll stick with the 24 -card version.

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