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Permutation Quiz

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

The value of $$ P(n, n-1) $$ is:

a)

n

b)

n!

c)

2n

d)

2n!

2.

The number of ways in which 8 students can be seated in a line is:

a)

5040

b)

50400

c)

40230

d)

40320

3.

Permutation is also known as selection.

a)

True

b)

False

4.

If $$ n = 7 $$ and $$ r = 4 $$, what is $$ nPr $$?

a)

7!

b)

$$ \frac{7!}{4!} $$

c)

$$ \frac{7!}{(7-4)!} $$

d)

$$ \frac{7!}{(7-4)!4!} $$

5.

The value of $$ 6! $$ is:

a)

24

b)

120

c)

720

d)

8

6.

Number of possible arrangements of all letters in the word "IMAGE" without repetition is:

a)

25

b)

120

c)

125

d)

3125

7.

Find the number of 5-letter words formed using letters of "IMAGE" if repetition is allowed.

a)

25

b)

120

c)

125

d)

3125

8.

In how many ways can the letters of the word "APPLE" be arranged?

a)

120

b)

48

c)

60

d)

30

9.

The formula for the number of permutations of n distinct objects taken r at a time is:

a)

$$ n! $$

b)

$$ \frac{n!}{r!} $$

c)

$$ \frac{n!}{(n-r)!} $$

d)

$$ \frac{n!}{(n-r)!r!} $$

10.

If repetition is allowed, the number of permutations of n things taken r at a time is:

a)

$$ n! $$

b)

$$ n^r $$

c)

$$ r^n $$

d)

$$ \frac{n!}{(n-r)!} $$