Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

The letters of the word 'BEAUTY' 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 2

What is the value of ^{5}C_{3}?

### Question 3

There are 8 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?

### Question 4

How many words can be formed with 6 distinct consonants and 2 distinct vowels such that vowels stay together at the end of each word?

### Question 5

There are 6 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?

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 2018-01-02.