Free Printable Permutations and Combinations

1.

Find the number of ways of arranging 6 different encyclopedias on a shelf

a)

5!

b)

6!

c)

7!

d)

8!

2.

How many arrangements can be formed from the word MEDIAN?

a)

5!

b)

6!

c)

7!

d)

8!

3.

How many ways can 5 persons seat if there are 10 vacant seats in a van?

a)

$10P_{10}$

b)

$5P_5$

c)

$10P_5$

d)

$10C_5$

4.

In how many ways can the word ARRANGE be rearranged if there is no restriction.

a)

$7!$

b)

$\frac{7!}{2!}$

c)

$\frac{7!}{2!2!}$

d)

$\frac{7!}{2!3!}$

5.

Three-digit numbers are to be formed from the digits 0, 1, 2, 3, and 4 (excluding number which begins with 0). How many numbers can be formed when repetition is allowed.

a)

$5\times5\times5$

b)

$3\times4\times5$

c)

$3\times4\times4$

d)

$4\times5\times5$

6.

A team of 3 members is to be selected from 8 students. In how many ways can the team be chosen if there is no restriction.

a)

$8!$

b)

$8P_3$

c)

$8C_3$

d)

$3!$

7.

How many different ways to choose 3 women and 2 men from 7 women and 5 men to join a committee club members?

a)

$12C_5$

b)

$7C_3\times5C_2$

c)

$7P_3\times5P_2\$

d)

$12P_5$

8.

A man has 13 course mates and he wants to invite 6 of them to lunch. In how many ways can he invite them?

a)

$13C_6$

b)

$6C_{13}$

c)

$6P_{13}$

d)

$13P_6$

9.

A student is to answer 8 out of 10 questions in an examination. How many choices she has?

a)

$8C_{10}$

b)

$8P_{10}$

c)

$10P_8$

d)

$10C_8$

10.

There are 10 boys and 15 girls in a class. How many ways can the teacher choose a committee of 5?

a)

$10C_5$

b)

$10P_5$

c)

$25P_5$

d)

$25C_5$

Permutations and Combinations

Total questions: 10

Worksheet time: 9mins

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