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HW 13.2 - Permutations & Combinations

Total questions: 20

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

How would you solve?

The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

a)

Permutation

b)

Combination

c)

Factorial

d)

Counting Principles

2.

How would you solve?

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

a)

Permutation

b)

Combination

c)

Factorial

d)

Counting Principles

3.

How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

a)

Permutation

b)

Combination

4.

How many ways can 13 students line up for lunch?

a)

Permutation

b)

Combination

5.

How many ways can you make a 3-letter arrangements out of the letters in the word

TRAPEZOID.

a)

Permutation

b)

Combination

6.

How many ways can you choose 2 books from a

shelf of 40 books?

a)

Permutation

b)

Combination

7.

How many ways can 12 swimmers finish in first,

second, and third place?

a)

Permutation

b)

Combination

8.

How many ways can Mrs. Sullivan choose two

students from 27 to help put away calculators at

the end of class?

a)

Permutation

b)

Combination

9.

Robin has five different pairs of shoes that match with 6 different pairs of socks. How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

a)

11

b)

30

c)

120

d)

720

10.

Rhea has 10 basketballs, each of a different colour. She only has time to shoot 5 hoops before going to bed. How many different arrangements can the balls be thrown into the hoops?

a)

252

b)

120

c)

30,240

d)

3,628,800

11.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

12.

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat.

a)

90

b)

729

c)

1000

d)

720

13.

How many ways can you arrange 7 books on a shelf?

a)

7

b)

49

c)

343

d)

5,040

14.

How many identification codes are possible using 4 letters if no letter may be repeated?

a)

15,600

b)

358,800

c)

7,893,600

d)

26

15.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

16.

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

a)

210

b)

5.040

c)

6

d)

35

17.
Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?
a)
336
b)
56
c)
24
d)
100
18.
There are 14 candy bars for sale. How many ways can Andy choose five of them?
a)
240240
b)
2002
c)
87178291200
d)
70
19.
Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor,  how many cakes are possible?
a)
35
b)
573
c)
21
d)
105
20.
The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?
a)
720
b)
120
c)
10!