1. Professor Easy's final examination has12true-false questions followed by3multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list ofsix. How many answer sheets are possible?

2. The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are four appetizers, five soups, five main courses, and four desserts. Your diet restricts you to choose between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Poker Hands A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit) (Note that the ace counts either as a 1 or as the denomination above king.) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (*), diamonds (+), clubs (), and spades (). Thus, for instance, the jack of spades, Je, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below. 6V 7Y 99 109 JY QV KY 34 64 74 84 94 104 J+ A& 28 68 8% 98 10% J& Q& K& 24 34 44 54 64 74 84 94 10% J. Q Ke handsPoker Hands A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. Full house (three of one denomination and two of another denomination) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (v), diamonds (+), clubs (+), and spades (). Thus, for instance, the jack of spades, Je, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below. 29 5Y 6Y 89 99 109 JY QV KY A+ 20 64 74 84 94 104 Q+ K A& 28 4% 78 88 98 10% J& Q& K 20 34 42 54 64 94 10% Je Q- hands