# Permutations and Combinations Quiz Set 019

### Question 1

In how many ways can 3 different types of ice-creams be distributed among 2 boys?

A

6.

B

11.

C

4.

D

7.

Soln.
Ans: a

The first can get any of the 3 ice-creams, the second can then get (3 - 1), and so on. This is expressed as 3P2, which evaluates to 6.

### Question 2

There are 5 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

25.

B

30.

C

23.

D

26.

Soln.
Ans: a

The upward journey is possible in 5 ways, and the downward also in 5 ways. So the outcomes are 5 × 5 = 25.

### Question 3

How many words can be formed with 8 distinct consonants and 2 distinct vowels such that vowels stay together at the end of each word?

A

80640.

B

80650.

C

80630.

D

80660.

Soln.
Ans: a

We have to basically create two parts - one containing 8 consonants and the other containing 2 vowels. The consonants can be arranged in 8 ! ways, and vowels in 2 ! ways. The total count will be 8 ! × 2 ! = 80640.

### Question 4

How many words can be formed with 8 distinct consonants and 4 distinct vowels such that vowels stay together at the end of each word?

A

967680.

B

967690.

C

967670.

D

967700.

Soln.
Ans: a

We have to basically create two parts - one containing 8 consonants and the other containing 4 vowels. The consonants can be arranged in 8 ! ways, and vowels in 4 ! ways. The total count will be 8 ! × 4 ! = 967680.

### 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.

This Blog Post/Article "Permutations and Combinations Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-08

Posted by Parveen(Hoven),
Aptitude Trainer