Hello Aspirants. Welcome to Online Reasoning Section in AffairsCloud.com. Here we are creating question sample in coded **Permutations & Combinations**, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!

Questions Penned by Yogit

**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

e) None of these

Answer –**b) 2880**

**Explanation :**

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

**In how many ways 5 African and five Indian can be seated along a circular table, so that they occupy alternate position.**

a) 5! 5!

b) 4! 5!

c) 5! 4!

d) 4! 4!

Answer –**b) 4! 5!**

**Explanation :**

First 5 African are seated along the circular table in (5-1)! Ways = 4!. Now Indian can be seated in 5! Ways, so 4! 5!

**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

Answer –**a) 17! 3!**

**Explanation :**

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!

**In how many 8 prizes can be given to 3 boys, if all boys are equally eligible of getting the prize.**

a) 512

b) 343

c) 256

d) 526

e) None of these

Answer –**a) 512**

**Explanation :**

Prizes cab be given in 8*8*8 ways = 512 ways

**There are 15 points in a plane out of which 6 are collinear. Find the number of lines that can be formed from 15 points.**

a) 105

b) 90

c) 91

d) 95

e) None of these

Answer –**c) 91**

**Explanation :**

From 15 points number of lines formed = 15c2

6 points are collinear, number of lines formed by these = 6c2

So total lines = 15c2 – 6c2 + 1 = 91

**In party there is a total of 120 handshakes. If all the persons shakes hand with every other person. Then find the number of person present in the party.**

a) 15

b) 16

c) 17

d) 18

e) None of these

Answer –**b) 16**

**Explanation :**

Nc2 = 120 (N is the number of persons)

**There are 8 boys and 12 girls in a class. 5 students have to be chosen for an educational trip. Find the number of ways in which this can be done if 2 particular girls are always included**

a) 812

b) 816

c) 818

d) 820

e) None of these

Answer –**b) 816**

**Explanation :**

18c3 = 816 (2 girls already selected)

**In how many different ways the letters of the world INSIDE be arranged in such a way that all vowels always come together**

a) 64

b) 72

c) 84

d) 96

e) None of these

Answer –**b) 72**

**Explanation :**

Three vowels I, I and E can be arranged in 3!/2! Ways, remaining letters and group of vowels can be arranged in 4! Ways. So 4!*3!/2!

**How many 3 digit number can be formed by 0, 2, 5, 3, 7 which is divisible by 5 and none of the digit is repeated.**

a) 24

b) 36

c) 48

d) 60

e) None of these

Answer –**a) 24**

**Explanation :**

Let three digits be abc, a can be filled in 4 ways (2,3, 5 and 7) c can be filled in 2 ways (0 or 5) and b can be filled in 3 ways. So, 4*3*2 = 24 ways

**In a group of 6 boys and 8 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

e) None of these

Answer –**b) 1526**

**Explanation :**

6c2*5c3 + 6c3*5c2 + 6c4*5c1 + 6c5

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