Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

How many 3 digit numbers can be formed with a given set of 5 distinct digits?

### Question 2

Out of given 8 consonants and 4 vowels, how many words can be formed that contain 3 consonants and 2 vowels or 3 vowels and 2 consonants?

**A**

53760.

**B**

53770.

**C**

53750.

**D**

53780.

**Soln.**

**Ans: a**

We can make the selection in ^{4}C_{3} × ^{8}C_{2} + ^{4}C_{2} × ^{8}C_{3} ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (^{4}C_{3} × ^{8}C_{2} + ^{4}C_{2} × ^{8}C_{3}) = 53760.

### Question 3

From a group of 7 men and 4 women, in how many ways can 3 men and 2 women or 2 men and 3 women be selected?

### Question 4

What is the value of ^{6}P_{3}?

### Question 5

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

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This Blog Post/Article "Permutations and Combinations Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.