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Combinations and Probability

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

Find the number of combinations of the following school supplies

book, pencil, glue, ruler, eraser, folder, marker, scissors, crayon taken three at a time.

a)

15

b)

84

c)

48

d)

35

2.

Find the number of combinations of the following symbols α, β, γ, ω, η, θ, μ, λ taken four at a time.

a)

70

b)

60

c)

50

d)

40

3.

Evaluate

14 C 12

a)

91

b)

64

c)

164

d)

Cannot determine

4.

Evaluate

30 C 28 - 16 C 13

a)

-125

b)

152

c)

125

d)

-152

5.

Solve using combinations.

How many 5 person committees can be chosen from a group of nine people?

a)

126

b)

167

c)

28

d)

14

6.

Solve using combinations.

There are 5 things in a hat. How many ways can you pick 3 things from the hat at once?

a)

10

b)

5

c)

15

d)

20

7.

Solve using combinations.

How many different ways can you choose three books from a summer reading book list of 6 books?

a)

5

b)

10

c)

15

d)

20

8.

Solve using combinations.

How many ways can you pick five students for the student council when there are twelve people running?

a)

792

b)

892

c)

992

d)

1092

9.

Solve using combinations

How many different ways can you invite four of your seven friends to the movies?

a)

35

b)

45

c)

25

d)

55

10.

You are at a pizza parlor that offers four toppings: anchovies, olives, pineapples, and sausage. How many different combinations of these items can you make if you choose two toppings

a)

3

b)

6

c)

9

d)

12

11.

You are at a pizza parlor that offers four toppings: anchovies, olives, pineapples, and sausage. How many different combinations of these items can you make if you choose four toppings?

a)

0

b)

1

c)

2

d)

3

12.

Evaluate

93 C 93 * 41 C 39

a)

820

b)

720

c)

0

d)

1

13.

Evaluate

21 / 3 C 1

a)

7

b)

6

c)

3

d)

21

14.

Solve using combinations

5 people were trying to be one of the first 3 callers to a radio station contest. How many different sets of people could have succeeded?

a)

10

b)

15

c)

20

d)

5

15.

Solve using combinations.

9 wild shoppers are rushing to grab one of the last 7 Elmo toys. How many different sets of shoppers could come away with a toy?

a)

36

b)

72

c)

6

d)

108

16.

A painter was carrying 7 pails of different colored paint and dropped 4 of them, making a big mess. How many combinations of colors could he have spilled?

a)

25

b)

35

c)

45

d)

55

17.

Solve using combinations.

There are 7 different marbles in a jar. How many different sets could you get by randomly picking 5 of them from the jar?

a)

7

b)

21

c)

42

d)

84

18.

The second section of Mathematics paper contains 7 questions and a candidate must answer any 4 questions. In how many ways can the 4 questions be chosen (without regard to order)?

a)

35

b)

45

c)

55

d)

25

19.

Which formula can be used in the given problem?

The second section of Mathematics test contains 10 questions and a student must answer any 7 questions. In how many ways can the 7 questions be chosen (without regard to order)?

a)
b)
c)
d)
20.

Find the number of combinations (if repetition is allowed) of the following symbols α, β, γ, ω, η, θ, μ, λ taken four at a time.

a)

330

b)

70

c)

3300

d)

40