Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

In how many ways can 4 prizes be given to 3 students if each of them is equally eligible?

### Question 2

Out of given 7 consonants and 3 vowels, how many words can be formed that contain 3 consonants and 2 vowels or 2 vowels and 3 consonants?

**A**

15120.

**B**

15130.

**C**

15110.

**D**

15140.

**Soln.**

**Ans: a**

We can make the selection in ^{3}C_{3} × ^{7}C_{2} + ^{3}C_{2} × ^{7}C_{3} ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (^{3}C_{3} × ^{7}C_{2} + ^{3}C_{2} × ^{7}C_{3}) = 15120.

### Question 3

How many 2 digit numbers can be formed with a given set of 6 distinct digits?

### Question 4

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

### Question 5

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 any of the available trains?

This Blog Post/Article "Permutations and Combinations Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.