Permutations and Combinations Quiz Set 005

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Question 1

What is the value of 8C3?

 A

56.

 B

66.

 C

46.

 D

76.

Soln.
Ans: a

8C3 is ${8 !}/{(8 - 3) ! × 3 !}$ = 56.


Question 2

What is the value of 5P3?

 A

60.

 B

70.

 C

50.

 D

80.

Soln.
Ans: a

5P3 is ${5 !}/{(5 - 3) !}$ = 60.


Question 3

From a group of 9 men and 5 women, in how many ways can 3 men and 2 women or 2 men and 3 women be selected?

 A

1200.

 B

1210.

 C

1190.

 D

1220.

Soln.
Ans: a

The required count is 5C3 × 9C2 + 5C2 × 9C3 = 1200.


Question 4

The letters of the word 'ORANGE' have to be arranged such that the vowels occupy only the odd positions. How many different ways are possible?

 A

36.

 B

46.

 C

26.

 D

56.

Soln.
Ans: a

This word has 6 letters, out of which 3 are consonants and 3 are vowels. The vowels have to occupy three fixed odd positions. We can place 3 vowels in first odd place, 2 in second odd place and 1 in the third odd place, giving 3 × 2 × 1 = 6 permutations. This will be done with the consonants also. So the total possibilities are 6 × 6 = 36.


Question 5

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.


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This Blog Post/Article "Permutations and Combinations Quiz Set 005" 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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