Please address all the questions thank you. This question refers to a standard deck of playing cards. A five-card hand is just a subset of 5 cards from a deck of 52 cards. In a standard deck there are 13 denominations (1, 2,..., 10, Jack, Queen, King), each of which has copies belonging to the 4 suits (Spades, Clubs, Hearts and Diamonds). Use the same binomial coefficient notation described in the previous questions, and do not include any spaces next to operations like + or -. 1, How many five-card hands have exactly two hearts? 2, How many 5-card hands have at least one club

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Please address all the questions thank you.

This question refers to a standard deck of playing cards. A five-card hand is just a subset of 5 cards from a deck of 52 cards. In a standard deck there are 13 denominations (1, 2,..., 10, Jack, Queen, King), each of which has copies belonging to the 4 suits (Spades, Clubs, Hearts and Diamonds).

Use the same binomial coefficient notation described in the previous questions, and do not include any spaces next to operations like + or -.

1, How many five-card hands have exactly two hearts?

2, How many 5-card hands have at least one club?

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