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.