# Permutation and Combination Aptitude Questions and Answers

This section focuses on "Permutation and Combination" of Quantitative Aptitude. These Multiple Choice Questions (mcq) should be practiced to improve the Quantitative Aptitude skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.

1. In how many ways can the letters of the word 'NOMINATION' be arranged?

A. 237672
B. 123144
C. 151200
D. 150720

2. In how many different ways can any 4 letters of the word 'ABOLISH' be arranged?

A. 5040
B. 120
C. 240
D. 840

3. In how many different ways can the letters of the word 'POTENCY' be arranged in such a way that the vowels always come together?

A. 1140
B. 1240
C. 1340
D. 1440

4.  In how many different ways can the letters of the word 'SPORADIC' be arranged so that the vowels always come together?

A. 1720
B. 4320
C. 2160
D. 2400

5. In how many different ways can the letters of the word ""ZYMOGEN"" be arranged in such a way that the vowels always come together?

A. 1440
B. 1720
C. 2360
D. 2240

6. In how many different ways can the letters of the word 'DILUTE' be arranged such that the vowels may appear in the even places?

A. 24
B. 120
C. 72
D. 36

7. Find out the number of ways in which 12 Bangles of different types can be worn in 2 hands?

A. 1260
B. 2720
C. 1225
D. 4096

8. There are 7 periods in each working day of a college. In how many ways can one organize 6 subjects such that each subject is allowed at least one period?

A. 33200
B. 15120
C. 10800
D. 43600

9. In how many ways can a group of 10 men and 5 women be made out of a total of 12 men and 10 women?

A. 16632
B. 15290
C. 25126
D. 34845

10. Pramoth has 12 friends and he wants to invite 7 of them to a party. How many times will 4 particular friends never attend the party?

A. 7
B. 8
C. 12
D. 15

11. A bowl contains 8 violet, 6 purple and 4 magenta balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours?

A. 362
B. 248
C. 122
D. 192

12. A shopkeeper has 15 models of cup and 9 models of saucer. In how many ways can he make a pair of cup and saucer?

A. 100
B. 80
C. 110
D. 135

13. In how many ways can 6 girls be seated in a rectangular order?

A. 60
B. 120
C. 240
D. 720

14. In a birthday party, every person shakes hand with every other person. If there was a total of 66 handshakes in the party, how many persons were present in the party?

A. 9
B. 10
C. 11
D. 12

15. In how many ways can 10 stones can be arranged to form a bangles

A. 267720
B. 125380
C. 181440
D. 284360

16. In how many ways can a team of 6 persons be formed out of a total of 12 persons such that 3 particular persons should not be included in any team?

A. 56
B. 112
C. 84
D. 168

17. In how many ways can 8 different ballons be distributed among 7 different boxes when any box can have any number of ballons?

A. 8^7-1
B. 7^8-1
C. 7^8
D. 8^7

18. How many 3-letter words can be formed with or without meaning from the letters A , G , M , D , N , and J , which are ending with G and none of the letters should be repeated?

A. 18
B. 20
C. 25
D. 27

19. How many different possible permutations can be made from the word ‘WAGGISH’ such that the vowels are never together?

A. 3605
B. 3120
C. 1240
D. 1800

20. How many words can be formed by using all letters of the word CABIN?

A. 24
B. 60
C. 120
D. 720