Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of ^{8}C_{3}?

### Question 2

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

### 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?

### 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?

### More Chapters | See All...

Averages | Problems on Trains | Statements and Conclusions | Essential Part | Analogies | Data Sufficiency | HCF and LCM | Inequalities | Mirror Images | Verification of truth | More...

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.