# Permutation and Combination Interview Questions and Answers

1. In how many possible ways can you write 1800 as a product of 3 positive integers a, b, c ?

A. 350

B. 360

C. 380

D. 480

2. How many ways the letters of the word "ARMOUR" can be arranged ?

A. 720

B. 300

C. 640

D. 360

E. None of these

3. In how many ways, a group of 3 boys and 2 girls can be formed out of a total of 4 boys and 4 girls ?

A. 15

B. 16

C. 20

D. 24

E. None

4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

A. 210

B. 1050

C. 25200

D. 21400

E. None of these

5. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?

A. 5

B. 10

C. 15

D. 20

6. Evaluate permutation equation 59P3 ?

A. 195052

B. 195053

C. 195054

D. 185054

7. How many words can be formed from the letters of the word AFTER, so that the vowels never come together ?

A. 48

B. 52

C. 72

D. 120

8. A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours ?

A. 12

B. 24

C. 48

D. 168

9. In how many different ways the letters of the word "MATHEMATICS" can be arranged so that the vowels always come together ?

A. 10080

B. 4989600

C. 120960

D. None of these

10. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw ?

A. 32

B. 48

C. 64

D. 96

E. None of these

11. How many groups of 6 persons can be formed from 8 men and 7 women ?

A. 5000

B. 5005

C. 5050

D. None of these

12. 8 men entered a lounge simultaneously. If each person shakes hand with the other, then find the total no. of handshakes?

A. 16

B. 36

C. 56

D. 28

13. Find the value of 5P2 ?

A. 15

B. 18

C. 20

D. 122

14. In how many different ways, can the letters of the word 'INHALE' be arranged ?

A. 720

B. 360

C. 120

D. 650

15. In how many ways, the letters of the word 'BANKING' can be arranged ?

A. 5040

B. 2540

C. 5080

D. 2520

16. In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible ?

A. 72

B. 144

C. 288

D. 234

17. How many can straight lines be drawn from 15 non-collinear points ?

A. 105

B. 120

C. 110

D. 115

E. 118

18. If 56Pr + 6 : 54Pr + 3 = 30800 : 1 then the value of r is ?

A. 40

B. 41

C. 42

D. None

19. There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed?

A. 2200

B. 2300

C. 2400

D. 3200