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4. A group of students are playing a card game. The game uses a well-shuffled deck...

4. A group of students are playing a card game. The game uses a well-shuffled deck of
56 playing cards. 52 of the cards are exactly as described in your textbook.
However, there are also 4 Jokers. This means that there are 56 cards: 14 are hearts,
14 are diamonds, 14 are clubs, and 14 are spades. A hand of cards consists of Eight of
the cards. Find the number of different hands that contain:
a. At least 6 Diamonds.
b. All hearts
c. At most 2 Jokers.
d. 3 spades and 5 clubs or 4 hearts and 4 diamonds.

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