Permutations and Combinations Quiz Set 010

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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.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»
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Updated on 2020-02-07. Published on: 2016-05-08

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