Permutations and Combinations, Course Quiz

What is the value of

0!

?

A undefined

B

1

C

\infty

D

0

Evaluate

^6P_2

.

A

12

B

30

C

36

D

15

A code is

1

letter followed by

2

digits, repetition allowed. How many codes are possible?

A

2600

B

260

C

2340

D

28

How many arrangements are there of all the letters of PENCIL?

A

720

B

120

C

36

D

360

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

A

17{,}325

B

69{,}300

C

39{,}916{,}800

D

34{,}650

Each of

10

people shakes hands once with every other. How many handshakes are there?

A

45

B

90

C

100

D

20

Which expression equals

^nC_r + {}^nC_{r-1}

?

A

^nC_{2r-1}

B

^{n+1}C_r

C

^{n-1}C_r

D

^{n+1}C_{r-1}

A committee of

3

is chosen from

4

men and

3

women. In how many ways does it include at least one woman?

A

18

B

31

C

35

D

4

How many

5

-digit numbers using each of

1, 2, 3, 4, 5

once are divisible by

5

?

A

20

B

96

C

24

D

120

Find

n

if

^nP_2 = 56

.

A

8

B

28

C

14

D

7

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Permutations and Combinations, Course Quiz

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