Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

From a group of 9 boys and 6 girls, in how many ways can 2 boys and 2 girls be selected?

### Question 2

There are 5 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 3

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?

### Question 4

Section A of an exam has 3 questions, B has 6 questions and C has 4 questions. In how many ways can a student attempt the paper if he has to select one question from each of these sections?

### Question 5

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

**A**

2160.

**B**

2170.

**C**

2150.

**D**

2180.

**Soln.**

**Ans: a**

We can make the selection in ^{3}C_{3} × ^{4}C_{2} + ^{3}C_{2} × ^{4}C_{3} ways. But the five members can themselves be arranged in 5! ways. So the number of words is 120 × (^{3}C_{3} × ^{4}C_{2} + ^{3}C_{2} × ^{4}C_{3}) = 2160.

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Percentages | Analogies | Ratio and Proportion | Alligations and Mixtures | HCF and LCM | Partnerships | Square and Cube Roots | Distance and Time | Surds and Indices | Inequalities | More...

This Blog Post/Article "Permutations and Combinations Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-08