# Permutations and Combinations Quiz Set 010

### Question 1

How many possible outcomes are there if a die with 2 faces is cast and then a coin with 2 sides is tossed?

A

4.

B

9.

C

2.

D

5.

Soln.
Ans: a

The die can fall in 2 different ways, and a coin in 2 ways. So the outcomes are 2 × 2 = 4.

### Question 2

What is the value of 7P5?

A

2520.

B

2530.

C

2510.

D

2540.

Soln.
Ans: a

7P5 is \${7 !}/{(7 - 5) !}\$ = 2520.

### Question 3

3 men are standing in front of 4 cabins. In how many ways can they enter the cabins?

A

24.

B

29.

C

22.

D

25.

Soln.
Ans: a

The first has 4 options, the second has (4 - 1), and so on. This is expressed as 4P3, which evaluates to 24.

### Question 4

In how many ways can 3 letter words be formed by using a given set of 12 consonants?

A

1320.

B

1325.

C

1318.

D

1321.

Soln.
Ans: a

The first place can get any of the 12 consonants, the second place can then get (12 - 1), and likewise. This is expressed as 12 × 11 × 10, which evaluates to 1320.

### Question 5

In how many ways can 9 different types of ice-creams be distributed among 6 boys?

A

60480.

B

60485.

C

60478.

D

60481.

Soln.
Ans: a

The first can get any of the 9 ice-creams, the second can then get (9 - 1), and so on. This is expressed as 9P6, which evaluates to 60480. 