A group of students are playing a card game that 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. Calculate the number of different hands that contain: a. At least 7 Hearts: b. All diamonds: c. At most 2 Jokers: d. 3 diamonds and 5 spades or 4 hearts and 4 clubs: