Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Out of given 6 consonants and 4 vowels, how many words can be formed that contain 3 consonants and 2 vowels or 2 vowels and 3 consonants?

**A**

21600.

**B**

21610.

**C**

21590.

**D**

21620.

**Soln.**

**Ans: a**

We can make the selection in ^{4}C_{3} × ^{6}C_{2} + ^{4}C_{2} × ^{6}C_{3} ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (^{4}C_{3} × ^{6}C_{2} + ^{4}C_{2} × ^{6}C_{3}) = 21600.

### Question 2

From a group of 5 boys and 7 girls, in how many ways can 2 boys and 2 girls be selected?

### Question 3

What is the value of ^{7}C_{2}?

### Question 4

How many four letter words, with all the letters different, can be formed out of the letters of the word 'BACKGROUND'?

### Question 5

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

### More Chapters | See All...

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This Blog Post/Article "Permutations and Combinations Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.