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Combination and Permutation

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

2.

An election of a working group wants to select three students from a group of six candidates. In how many ways can this be done?

a)

6!

b)

120

c)

20

d)

3!

3.

How would you solve?

A reading club offers a choice of 8 books from a list of 40 books. In how many ways can a member make a collection?

a)

Permutation

b)

Combination

c)

Factorial

4.

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

a)

Permutation

b)

Combination

c)

Factorial

5.

The Volley ball 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!

6.

Picking a team of 3 people from a group of 10 people.

a)

Combination

b)

Permutation

7.

Picking a President, Vice-President and Treasurer from a group of 10.

a)

Combination

b)

Permutation

8.

Choosing 3 desserts from a menu with 10 desserts.

a)

Combination

b)

Permutation

9.

Let’s say we have 8 people:


1: Ann

2: Jimmy

3: Carson

4: Jason

5: Katrina

6: Kenneth

7: Ernest

8: Cherry


How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

a)

56

b)

336

c)

3/8

d)

1/512

10.

This padlock should be called as.....

a)

Combination padlock

b)

Permutation padlock

11.
20P2
a)
20
b)
380
c)
6840
d)
116280
12.
How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 
a)
15C2=105
b)
15P2=210
c)
15 x 2 = 30
d)
100 ways
13.
What is the formula for Permutations?
a)
n!
b)
n!∕(n-r)!
c)
n!∕(n-r)! r!
d)
r!∕(r-n)! n!
14.
What is the formula for Combinations?
a)
n!∕(n-r)! r!
b)
n!∕(n-r)!
c)
r!∕(r-n)! n!
d)
n!
15.
What is the value of 8!
a)
40320
b)
36
c)
362880
d)
5040
16.
How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 
a)
15C2=105
b)
15P2=210
c)
15 x 2 = 30
d)
100 ways
17.
How many ways can you arrange 2 letters from the word
S Q U A R E?
a)
30
b)
140
c)
320
d)
45
18.

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

a)

54

b)

816

c)

4896

19.

There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?

a)

Permutation

b)

Combination

20.

solve the following permutation: The student body of 40 students wants to elect a president, vice president, secretary, and treasurer.

a)

2479595

b)

2140140

c)

2193360

d)

4386720