Permutations and Combinations: Mixed Practice, Quiz

In how many ways can

5

people sit in a row if two particular people must sit together?

A

24

B

120

C

48

D

72

3

prizes are given to

6

students, and a student may win more than one. In how many ways?

A

729

B

120

C

20

D

216

How many distinct arrangements are there of the letters of LETTER?

A

360

B

90

C

180

D

720

How many

5

-card hands from a pack of

52

contain exactly

2

kings?

A

^4C_2 \times {}^{52}C_3 = 132{,}600

B

2 \times {}^{48}C_3 = 34{,}592

C

^4C_2 \times {}^{48}C_3 = 103{,}776

D

^4C_2 + {}^{48}C_3 = 17{,}302

A group of

5

is chosen with

3

of

5

boys and

2

of

4

girls. In how many ways?

A

60

B

126

C

120

D

16

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