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
Answer : B. 360...
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
Answer : D. 360...
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
Answer : D. 24...
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
Answer : C. 25200...
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
Answer : D. 20...
6. Evaluate permutation equation 59P3 ?
A. 195052
B. 195053
C. 195054
D. 185054
Answer : C. 195054...
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
Answer : C. 72...
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
Answer : B. 24...
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
Answer : C. 120960...
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
Answer : C. 64...
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
Answer : B. 5005...
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
Answer : D. 28...
13. Find the value of 5P2 ?
A. 15
B. 18
C. 20
D. 122
Answer : C. 20...
14. In how many different ways, can the letters of the word 'INHALE' be arranged ?
A. 720
B. 360
C. 120
D. 650
Answer : A. 720...
15. In how many ways, the letters of the word 'BANKING' can be arranged ?
A. 5040
B. 2540
C. 5080
D. 2520
Answer : 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
Answer : B. 144...
17. How many can straight lines be drawn from 15 non-collinear points ?
A. 105
B. 120
C. 110
D. 115
E. 118
Answer : A. 105...
18. If 56Pr + 6 : 54Pr + 3 = 30800 : 1 then the value of r is ?
A. 40
B. 41
C. 42
D. None
Answer : B. 41...
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