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Permutation and Combination

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.
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
2.
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
3.

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

4.
Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.
a)
combination
b)
permutation
c)
neither
5.

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!

6.

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

7.

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!

8.

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

a)

Combination

b)

Permutation

9.
Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.
a)
625
b)
4.36 X 1010
c)
1,081,575
10.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10