Permutations and Combinations Quiz Set 018

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Question 1

In how many ways can a secretary and general secretary be chosen from a committee of 19 members?

 A

342.

 B

347.

 C

340.

 D

343.

Soln.
Ans: a

The secretary can be any of the 19 members, the general-secretary can then be any of the (19 - 1) members. So the answer is 19 × (19 - 1) = 342.


Question 2

From a group of 4 men and 6 women, in how many ways can 3 men and 2 women or 2 men and 3 women be selected?

 A

180.

 B

190.

 C

170.

 D

200.

Soln.
Ans: a

The required count is 6C3 × 4C2 + 6C2 × 4C3 = 180.


Question 3

In how many ways can 4 different types of ice-creams be distributed among 3 boys?

 A

24.

 B

29.

 C

22.

 D

25.

Soln.
Ans: a

The first can get any of the 4 ice-creams, the second can then get (4 - 1), and so on. This is expressed as 4P3, which evaluates to 24.


Question 4

There are 7 trains between two stations A and B. In how many ways can a student go from A to B and return by any of the available trains?

 A

49.

 B

54.

 C

47.

 D

50.

Soln.
Ans: a

The upward journey is possible in 7 ways, and the downward also in 7 ways. So the outcomes are 7 × 7 = 49.


Question 5

In how many ways can 7 different types of ice-creams be distributed among 5 boys?

 A

2520.

 B

2525.

 C

2518.

 D

2521.

Soln.
Ans: a

The first can get any of the 7 ice-creams, the second can then get (7 - 1), and so on. This is expressed as 7P5, which evaluates to 2520.


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This Blog Post/Article "Permutations and Combinations Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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