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Permutation of n objects

Total questions: 20

Worksheet time: 12mins

Name
Class
Date
1.

Out of 8 Textbooks, Patrick can only put 4 textbooks in his bookshelf. In how many ways can he arrange this books in that shelf?

a)

𝟏,𝟔𝟖𝟎 ways

b)

336 ways

c)

40,320 ways

d)

6,720 ways

2.

Evaluate 10!

a)

3,628,800

b)

362,880

c)

39,916,800

d)

40,320

3.

Which of the following expressions represents the permutation of 4 different letters taken 2 at a time?

a)

4P4

b)

4P2

c)

2P2

d)

2P4

4.

Which of the following expressions represent the permutation of five different books in a shelf?

a)

4P4

b)

3P3

c)

5P5

d)

2P2

5.

Which of the following expressions is equal to (5)(4)(3)(2)(1)?

a)

4!

b)

2!

c)

3!

d)

5!

6.

The product of all positive integers equal or less than to “n”.

a)

n - Factorial

b)

n - Primes

c)

n - Products

d)

n - Integers

7.

Permutation refers to the arrangement of objects where the position or order is important.

a)

TRUE

b)

FALSE

8.

In how many different ways can 7 potted plants be arranged in a row?

a)

210

b)

720

c)

2520

d)

5040

9.

If P(n, 4) = 3 024, then n = ____ .

a)

13

b)

11

c)

9

d)

14

10.

If x = P(7, 4), y = P(8, 4), and z = P(9, 3), arrange x, y, and z from smallest to greatest.

a)

x, y, z

b)

y, x, z

c)

z, x, y

d)

z, y, x

11.

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

a)

840

b)

420

c)

1680

d)

2520

12.

Which of the following symbols denote the permutation of n objects taken r at a time.

a)

nPr

b)

Pnr

c)

P(n,r)

d)

All of the above

13.

What is P (10, 4)?

a)

30

b)

720

c)

90

d)

5040

14.

Which of the following situations or activities involve permutations?

a)

Opening a combination lock

b)

Matching shirts and pants

c)

Forming a committee from the members of a club

d)

Choosing 7 questions to answer out of 10 questions in a test

15.

Which of the following is used to find the permutations

of n objects taken r at a time?

a)

n!(n−r)!\frac{n!}{\left(n-r\right)!}

b)

n!n!(n−r)!\frac{n!}{n!\left(n-r\right)!}

c)

n!(n−r)!r!\frac{n!}{\left(n-r\right)!r!}

d)

n!

16.

 Calculate P(12, 5).

a)

40 320

b)

95 040

c)

 495

d)

 11 880

17.

What is the value of 6!

a)

710

b)

720

c)

730

d)

740

18.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

19.

 

Calculate the number of ways how 4 different prizes can be given to 4 participants of a quiz.

a)

24

b)

16

c)

20

d)

12

20.
What does 10P5 mean?
a)
Permutations with 5 choices and 10 positions
b)
Permutations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks