# Permutation and Combination Quiz 9

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# Permutation and Combination Quiz 9

### Introduction

Permutation and Combination is one of important topic in Quantitative Aptitude Section. In Permutation and Combination Quiz 9 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Permutation and Combination Quiz 9 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

### Q1

In how many ways 5 Americans and 5 Indians be seated along a circular table, so that they are seated in alternative positions
A. 5! 5! B. 6! 4! C. 4! 5! D. 4! 4!

C
First Indians can be seated along the circular table in 4! Ways and now Americans can be seated in 5! Ways. So 4! 5! Ways

### Q2

4 matches are to be played in a chess tournament. In how many ways can result be decided?
A. 27 B. 9 C. 81 D. 243

C
Every chess match can have three result i.e. win, loss and draw
so now of ways = 3 × 3 × 3 × 3 = 81 ways

### Q3

In a group of 6 boys and 5 girls, 5 students have to be selected. In how many ways it can be done so that at least 2 boys are included
A. 1524 B. 1526 C. 1540 D. 1560

B
$^{6}{C}_{2} \times ^{5}{C}_{3} + ^{6}{C}_{3} \times ^{5}{C}_{2} + ^{6}{C}_{4} \times ^{5}{C}_{1} + ^{6}{C}_{5}$ = 1526

### Q4

In how many ways can 5 boys and 4 girls can be seated in a row so that they are in alternate position.
A. 2780 B. 2880 C. 2800 D. 2980

B
First boys are seated in 5 position in 5! Ways, now remaining 4 places can be filled by 4 girls in 4! Ways, so number of ways = 5! 4! = 2880

### Q5

There is meeting of 20 delegates is to be held in a hotel. In how many ways these delegates can be seated along a round table, if three particular delegates always seat together.
A. 17! 3! B. 18! 3! C. 17! 4! D. can’t be determined

A
Total 20 persons, 3 always seat together, 17 + 1 =18 delegates can be seated in (18 - 1)! Ways = 17!
And now that three can be arranged in 3! Ways. So, 17! 3!

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