Math1313 Quiz 8

A fair coin is tossed 27 times. In how many outcomes does at least 1 tail occur? a) 134,217,727 b) 134,217,700 c) 134,217,728 d) 27 e) 1 f) None of the above.

a) 134,217,727

An unbiased coin is tossed 11 times. In how many ways can the coin land tails either exactly 4 times or exactly 2 times? a) 385 b) 336 c) 6 d) 55 e) 330 f) None of the above.

a) 385

A fast-food restaurant offers 6 different burgers, 6 different side orders, 8 different flavor drinks, and 9 different flavors of ice cream. In how many ways can a combo containing 2 burgers, 3 different sides, 3 different flavor drinks, and 3 ice cream flavors be made? a) 175 b) 1,411,200 c) 54 d) 2,592 e) 404,640 f) None of the above.

b) 1,411,200

After a bride has interviewed 8 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how many ways can she rank the 4 DJs? a) 70 b) 1,680 c) 4 d) 32 e) 40,320 f) None of the above.

b) 1,680

A firm has 19 senior and 25 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) 25 b) 12,275 c) 1,074,380 d) 131,875 e) 775 f) None of the above.

b) 12,275

A coin is tossed 17 times. In how many outcomes do exactly 6 tails occur? a) 102 b) 12,376 c) 720 d) 6 e) 8,910,720 f) None of the above.

b) 12,376

A manager receives 9 applications for a specific position. She wants to narrow it down to 5. In how many ways can she rank 5 applications? a) 126 b) 15,120 c) 45 d) 5 e) 362,880 f) None of the above.

b) 15,120

A classroom of children has 19 boys and 20 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) 11,628 b) 273,258 c) 261,630 d) 195,738 e) 77,520 f) None of the above.

b) 273,258

A business organization needs to make up a 8 member fund-raising committee. The organization has 6 accounting majors and 6 finance majors. In how many ways can the fund-raising committee be formed if at least 4 accounting majors are on the committee? a) 21 b) 360 c) 22 d) 225 e) 135 f) None of the above.

b) 360

A committee consists of 9 men and 11 women. In how many ways can a subcommittee of 6 men and 7 women be chosen? a) 16,632 b) 498 c) 27,720 d) 414 e) 77,520 f) None of the above.

c) 27,720

A business organization needs to make up a 5 member fund-raising committee. The organization has 9 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at most 1 accounting major is on the committee? a) 30 b) 21 c) 336 d) 9 e) 315 f) None of the above.

c) 336

A shipment contains 17 TV's, of which two are defective. A sample of three TV's is selected at random. In how many ways can no defective TV's be chosen? a) 560 b) 225 c) 455 d) 15 e) 13 f) None of the above.

c) 455

In how many ways can 9 hearts be chosen if 11 cards are chosen from a well-shuffled deck of 52 playing cards? a) 117 b) 99 c) 529,815 d) 715 e) 55 f) None of the above.

c) 529,815

A fair coin is tossed 26 times. In how many outcomes does at least 1 head occur? a) 26 b) 67,108,837 c) 67,108,863 d) 1 e) 67,108,864 f) None of the above

c) 67,108,863

A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 4 men and 7 women be chosen? a) 75,582 b) 338 c) 400 d) 23,100 e) 2,640 f) None of the above.

d) 23,100

An unbiased coin is tossed 14 times. In how many ways can the coin land tails either exactly 9 times or exactly 3 times? a) 84 b) 364 c) 2,086 d) 2,002 e) 2,366 f) None of the above.

e) 2,366

A firm has 24 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) 1,050 b) 260,099 c) 28 d) 2,556,456 e) 20,076 f) None of the above.

e) 20,076

A classroom of children has 11 boys and 17 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) 22,902 b) 28,050 c) 5,610 d) 462 e) 28,512 f) None of the above.

e) 28,512

A fast-food restaurant offers 7 different burgers, 6 different side orders, 8 different flavor drinks, and 9 different flavors of ice cream. In how many ways can a combo containing 3 burgers, 3 different sides, 3 different flavor drinks, and 3 ice cream flavors be made? a) 195 b) 408,960 c) 81 d) 3,024 e) 3,292,800 f) None of the above.

e) 3,292,800

A coin is tossed 18 times. In how many outcomes do exactly 7 heads occur? a) 7 b) 126 c) 5,040 d) 160,392,960 e) 31,824 f) None of the above.

e) 31,824