Permutations and Combinations Quiz Set 002

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

Section A of an exam has 6 questions, B has 2 questions and C has 3 questions. In how many ways can a student attempt the paper if he has to select one question from each of these sections?

 A

36.

 B

41.

 C

34.

 D

37.

Soln.
Ans: a

Clearly, it is 6 × 2 × 3 = 36.


Question 2

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 3

In how many ways can 4 letter words be formed by using a given set of 7 consonants?

 A

840.

 B

845.

 C

838.

 D

841.

Soln.
Ans: a

The first place can get any of the 7 consonants, the second place can then get (7 - 1), and likewise. This is expressed as 7 × 6 × 5 × 4, which evaluates to 840.


Question 4

From a group of 5 boys and 7 girls, in how many ways can 2 boys and 2 girls be selected?

 A

210.

 B

220.

 C

200.

 D

230.

Soln.
Ans: a

The required count is 7C2 × 5C2 = 210.


Question 5

How many 5 digit numbers ending in 0 can be formed with a given set of 7 distinct digits none of which is 0? Repetition of digits is not allowed.

 A

840.

 B

850.

 C

870.

 D

860.

Soln.
Ans: a

The units place is blocked by zero. The tens place has 7 options, the hundreds place also has (7 - 1) options, and so on. This is expressed as 7 × 6 × 5 × 4 × 1, which evaluates to 840.


buy aptitude video tutorials


Creative Commons License
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 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement