Permutations and Combinations Quiz Set 002

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Question 1

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 a different train?

 A

42.

 B

47.

 C

40.

 D

43.

Soln.
Ans: a

The upward journey is possible in 7 ways, and the downward in 6 ways. So the outcomes are 7 × 6 = 42.


Question 2

How many four letter words, with all the letters different, can be formed out of the letters of the word 'BIRTHPLACE'?

 A

5040.

 B

5050.

 C

5030.

 D

5060.

Soln.
Ans: a

This word has 10 different letters. The number of possibilities is 10P4 = 5040.


Question 3

What is the value of 7C2?

 A

21.

 B

31.

 C

11.

 D

41.

Soln.
Ans: a

7C2 is ${7 !}/{(7 - 2) ! × 2 !}$ = 21.


Question 4

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 5

In how many ways can a secretary and general secretary be chosen from a committee of 13 members?

 A

156.

 B

161.

 C

154.

 D

157.

Soln.
Ans: a

The secretary can be any of the 13 members, the general-secretary can then be any of the (13 - 1) members. So the answer is 13 × (13 - 1) = 156.


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This Blog Post/Article "Permutations and Combinations Quiz Set 002" 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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