Quiz about Permutation and Combination

Question 1

What is the formula for permutation?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

What is the formula for combination?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

Mariam wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Mariam choose?

Accepted Answer

6

Answer

8

Answer

4

Answer

2

Question 4

How many ways can you arrange 2 letters from the word SQUARE?

Accepted Answer

30

Answer

45

Answer

320

Answer

140

Question 5

A Mathematics test contains five different questions labelled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

Accepted Answer

10

Answer

5

Answer

15

Answer

15

Question 6

How many 2-digit numbers can you make using the digits 1, 2, 3, and 4 without repeating the digits?

Accepted Answer

12

Answer

24

Answer

90

Answer

100

Question 7

A group of 4 men and 3 ladies are to be seated in a row for a photo session. If the men and ladies want to be seated alternately, calculate the number of different arrangements?

Accepted Answer

144

Answer

24

Answer

64

Answer

12

Question 8

Calculate the number of ways to arrange 9 books of different tittles on a book rack?

Accepted Answer

362880

Answer

31

Answer

368280

Answer

45

Question 9

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

Accepted Answer

20

Answer

120

Answer

6

Answer

18

Question 10

There are 35 teachers in a school. In how many different ways one principal and one vice principal can be chosen?

Accepted Answer

1190

Answer

1160

Answer

1170

Answer

1180

Question 11

A code is to be formed using A, B, C, D, E, F, 5, 6, 7 and 8. If the code must consist of 4 letters followed by 3 digits numbers, how many codes can be formed without repetition?

Accepted Answer

8640

Answer

604800

Answer

3628800

Answer

144

Question 12

A physical education class contains 20 students. In how many ways can a swimming instruction group be formed consisting of 5 students?

Accepted Answer

15504

Answer

5168

Answer

7752

Question 13

A freezer contains 24 frozen entrees with only one serving of each one. In how many ways can a family of 4 diners select their entrees?

Accepted Answer

10626

Answer

14626

Answer

12626

Permutation and Combination

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