Permutations and Combinations Quiz Set 004

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Question 1

There are 8 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

56.

 B

61.

 C

54.

 D

57.

Soln.
Ans: a

The upward journey is possible in 8 ways, and the downward in 7 ways. So the outcomes are 8 × 7 = 56.


Question 2

How many possible outcomes are there if a die with 3 faces is cast and then a coin with 2 sides is tossed?

 A

6.

 B

11.

 C

4.

 D

7.

Soln.
Ans: a

The die can fall in 3 different ways, and a coin in 2 ways. So the outcomes are 2 × 3 = 6.


Question 3

In how many ways can 5 prizes be given to 2 students if each of them is equally eligible?

 A

25.

 B

35.

 C

55.

 D

45.

Soln.
Ans: a

The first has 5 options, the second also has 5 options, and so on. This is expressed as 5 × 5, which evaluates to 25.


Question 4

There are 8 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

64.

 B

69.

 C

62.

 D

65.

Soln.
Ans: a

The upward journey is possible in 8 ways, and the downward also in 8 ways. So the outcomes are 8 × 8 = 64.


Question 5

From a group of 4 boys and 5 girls, in how many ways can 2 boys and 2 girls be selected?

 A

60.

 B

70.

 C

50.

 D

80.

Soln.
Ans: a

The required count is 5C2 × 4C2 = 60.


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This Blog Post/Article "Permutations and Combinations Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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