Permutations and Combinations Quiz Set 001

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Question 1

Section A of an exam has 2 questions, B has 3 questions and C has 8 questions. In how many ways can a student attempt the paper if he has to select one question from each of these sections?

 A

48.

 B

53.

 C

46.

 D

49.

Soln.
Ans: a

Clearly, it is 2 × 3 × 8 = 48.


Question 2

From a group of 6 boys and 7 girls, in how many ways can 2 boys and 2 girls be selected?

 A

315.

 B

325.

 C

305.

 D

335.

Soln.
Ans: a

The required count is 7C2 × 6C2 = 315.


Question 3

In how many ways can 9 different types of ice-creams be distributed among 5 boys?

 A

15120.

 B

15125.

 C

15118.

 D

15121.

Soln.
Ans: a

The first can get any of the 9 ice-creams, the second can then get (9 - 1), and so on. This is expressed as 9P5, which evaluates to 15120.


Question 4

Out of given 8 consonants and 4 vowels, how many words can be formed that contain 3 consonants and 2 vowels or 2 vowels and 3 consonants?

 A

53760.

 B

53770.

 C

53750.

 D

53780.

Soln.
Ans: a

We can make the selection in 4C3 × 8C2 + 4C2 × 8C3 ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (4C3 × 8C2 + 4C2 × 8C3) = 53760.


Question 5

How many 3 digit numbers can be formed with a given set of 6 distinct digits?

 A

216.

 B

226.

 C

246.

 D

236.

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 × 6, which evaluates to 216.


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This Blog Post/Article "Permutations and Combinations Quiz Set 001" 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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