# Quantitative Aptitude Questions and Answers - Permutation and Combination

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

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

12.  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

13. 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

14. 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

15. 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

16. 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

17. 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

18. 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

19. 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

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

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