Question 1

What is the focus of permutation?

Accepted Answer

arrangement of an object

Answer

selection of an object

Answer

movement of an object

Answer

tendency of an object

Question 2

Which of the following situations illustrates permutation?

Accepted Answer

Assigning telephone number subscribers

Answer

Matching shirts and pants

Answer

Forming a committee from members of a club

Answer

Selecting five books from eight choices

Question 3

Which of the following is equal to the permutation of n objects taken r at a time?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

Which of the following is equal to the permutation of n objects taken r at a time, if $n=r$ ?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Which of the following is equal to $n=r$ ?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

What is the value of $n=r$ ?

Accepted Answer

24

Answer

3

Answer

6

Answer

12

Question 7

Evaluate $n=r$ .

Accepted Answer

336

Answer

120

Answer

8,064

Answer

56

Question 8

In how many ways can 6 students be seated in a row?

Accepted Answer

720

Answer

60

Answer

120

Answer

30

Question 9

What is the value of $n=r$ ?

Accepted Answer

210

Answer

1,020

Answer

24

Answer

5,040

Question 10

Evaluate the permutation of 9 objects taken 2 at a time.

Accepted Answer

72

Answer

181,440

Answer

4,096

Answer

362,880

Question 11

What is the total number of permutations of all the letters of the word MATH?

Accepted Answer

24

Answer

12

Answer

120

Answer

60

Question 12

In how many ways can 9 different books be arranged on a shelf?

Accepted Answer

362,880

Answer

9,000

Answer

5,040

Answer

120,000

Question 13

How many distinguishable permutations are there in the word MOM?

Accepted Answer

3

Answer

6

Answer

12

Answer

9

Question 14

Find the number of permutations of the letters of the word MOMMY.

Accepted Answer

20

Answer

45

Answer

120

Answer

24

Question 15

Find the number of permutations if five 1,000-peso bills, three 100-peso bills, and two 50-peso bills are arranged in a wallet.

Accepted Answer

2,520

Answer

2,515

Answer

2,510

Answer

2,505

Question 16

In how many ways can a president, secretary, and treasurer be elected from a group of seven students?

Accepted Answer

210

Answer

120

Answer

480

Answer

360

Question 17

Which of the following is equal to $n=r$

Accepted Answer

1

Answer

2

Answer

0

Answer

3

Question 18

Which of the following is equal to $n=r$ ?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 19

How many different permutations are there if 6 students are arranged at a circular table?

Accepted Answer

120

Answer

720

Answer

60

Answer

30

Question 20

In how many ways can 3 men and 2 women be seated at a round table?

Accepted Answer

24

Answer

64

Answer

120

Answer

60

Question 21

What is the value of $n=r$

Accepted Answer

95040

Question 22

What is the value of $n=r$ ?

Accepted Answer

3,024

Question 23

In how many ways can you arrange 4 boys and 3 girls on a line if boys sit next to each other?

Accepted Answer

576

Question 24

In how many ways can 5 different Math books and 4 different English books be placed on a shelf if English books must be together?

Accepted Answer

17,280

Answer

17280

Answer

17 280

Question 25

In how many ways can 4 men and 4 women be seated on a round table alternately?

Accepted Answer

144

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