Permutations and Combinations Quiz Set 003

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Question 1

In how many ways can 4 prizes be given to 3 students if each of them is equally eligible?

 A

64.

 B

74.

 C

94.

 D

84.

Soln.
Ans: a

The first has 4 options, the second also has 4 options, and so on. This is expressed as 4 × 4 × 4, which evaluates to 64.


Question 2

Out of given 7 consonants and 3 vowels, how many words can be formed that contain 3 consonants and 2 vowels or 2 vowels and 3 consonants?

 A

15120.

 B

15130.

 C

15110.

 D

15140.

Soln.
Ans: a

We can make the selection in 3C3 × 7C2 + 3C2 × 7C3 ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (3C3 × 7C2 + 3C2 × 7C3) = 15120.


Question 3

How many 2 digit numbers can be formed with a given set of 6 distinct digits?

 A

36.

 B

46.

 C

66.

 D

56.

Soln.
Ans: a

The first place has 6 options, the second place also has 6 options, and so on. This is expressed as 6 × 6, which evaluates to 36.


Question 4

What is the value of 5C3?

 A

10.

 B

20.

 C

0.

 D

30.

Soln.
Ans: a

5C3 is ${5 !}/{(5 - 3) ! × 3 !}$ = 10.


Question 5

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.


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This Blog Post/Article "Permutations and Combinations Quiz Set 003" 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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