PRINTABLE VERSION Quiz 8 Question 1 A coin is tossed 17 times. In how many outcomes do exactly 5 tails occur? a) 5 b) 85 c) 120 d) 742,560 e) 6,188 f) None of the above. Question 2 After a bride has interviewed 6 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 2 DJs. In how many ways can she rank the 2 DJs? a) 15 b) 2 c) 30 d) 12 e) 720 f) None of the above. Question 3 An urn contains 4 blue balls and 6 orange balls. In how many ways can we select 2 blue balls and 3 orange balls from the urn? a) 26 b) 1442 c) 120 d) 24 e) 132 f) None of the above. Question 4 A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 8 different flavors of ice cream. In how many ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 2 ice cream flavors be made? a) 2,016 b) 24 c) 46,800 d) 84 e) 176,400 f) None of the above. Question 5 A basket contains 14 apples, of which two are rotten. A sample of three apples is selected at random. In how many ways can two rotten apples be chosen? a) 220 b) 10 c) 144 d) 12 e) 286 f) None of the above. Question 6 A fair coin is tossed 27 times. In how many outcomes do at least 3 tails occur? a) 134,217,349 b) 134,214,424 c) 134,217,350 d) 2,925 e) 1 f) None of the above. Question 7 A business organization needs to make up a 8 member fund-raising committee. The organization has 6 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at least 4 accounting majors are on the committee? a) 525 b) 22 c) 231 d) 21 e) 756 f) None of the above. Question 8 A classroom of children has 16 boys and 19 girls in which five students are chosen to do presentations. In how many ways can the five students be chosen so that more boys than girls are selected? a) 34,580 b) 130,340 c) 134,708 d) 100,128 e) 4,368 f) None of the above. Question 9 A firm has 27 senior and 28 junior partners. A committee of three partners is selected at random to represent the firm at a conference. In how many ways can at least one of the junior partners be chosen to be on the committee? a) 28 b) 323,505 c) 23,310 d) 3,398,031 e) 1,134 f) None of the above. Question 10 An unbiased coin is tossed 13 times. In how many ways can the coin land tails either exactly 6 times or exactly 3 times? a) 20 b) 286 c) 1,716 d) 1,736 e) 2,002 f) None of the above