PERMUTATIONS AND COMBINATIONS (Mixed Questions)

 

Quantitative Aptitude


PERMUTATIONS AND COMBINATIONS

1. How many tree digit numbers can be formed with the digits 1, 2,3 and 5 if repletion of digits is not allowed?

A.      64

B.      60

C.      24

D.     125

2. How many three-digit number can be formed with the digits 0, 1, 2, 3 ,5 ,6 if repletion of digits is allowed.

A.      120

B.      180

C.      100

D.     216

3. How many three digits numbers can be formed with the digits 0, 1, 2, 3, 5, 6, if repletion of digits is not allowed?

A.      120

B.      180

C.      100

D.     216

4. There are 25 persons in a room. Each of them shakes hand with other persons. How many shakes took place?

A.      250

B.      300

C.      600

D.     625

5. How many three-digit odd numbers can be formed with the digits 1, 2, 3, 5, and 6 if digits cannot be repeated?

A.      100

B.      105

C.      120

D.     135

6. How many three digit even numbers can be formed with the digits 0, 1, 2, 3, 4, 5 and 6, if digits cannot be repeated?

A.      100

B.      105

C.      120

D.     135

 

7. Form 10 members in a club, 5 executive member are to be chosen. In how many ways they can be chosen, if two particular members will always be included?

A.      64

B.      60

C.      24

D.     125

8. From 10 members in a club, 5 executive members are to be chosen. In many how ways they can be chosen, if two particular members will always be excluded?

A.      64

B.      60

C.      24

D.     125

9. How many words can be formed using all the letters of the word TOMORROW?

A.      1680

B.      3360

C.      7620

D.     5340

10. How many words, beginning with vowels, can be formed using all the letters of the word DAUGHTER?

A.      40320

B.      15120

C.      5040

D.     20160

11. How many different letters arrangement can made from the letters of the word EQUATION so that all the vowels occur together?

A.      2880

B.      720

C.      2016

D.     1440

12. How many different letters arrangement can be made from the letters of the word ARRANGE so that all the vowels occur together?

A.      120

B.      180

C.      24

D.     216

13. How many three-digit numbers, multiple of 5, can be formed from the digits 0, 1, 3, 4, 5, 6 if digits cannot be repeated?

A.      30

B.      36

C.      48

D.     50

14. A team of 11 cricketers is to be selected from 15 players in which 7 are bowlers and rest are batsman. In how many ways, the team can be selected if team must have 5 bowlers and 6 batsmen?

A.      3003

B.      1176

C.      588

D.     1260

15. How many words, each of 3 consonants and 2 vowels can be formed from the letters of the word COMPUTER?

A.      1680

B.      2160

C.      7620

D.     5340

16. How many words can be formed the letters of the word NATION so that vowels occupy the even places?

A.      18

B.      36

C.      24

D.     30

17. 6!-5!-4!=?

A.      6x4x4!

B.      6x5x4!

C.      5x4x4!

D.     6x5x5!

18. Three dice are rolled simultaneously. What is the number of possible outcomes such that at least on show the number 2.

A.      36

B.      81

C.      91

D.     116

19. A man hit a target once in 3 shots. If the fires 4 shots in succession. What is the possibility that he will hit the target?

A.      4/3

B.      3/4

C.      1

D.     65/81

 

ANSWER KEY:

1-C

2-B

3-C

4-B

5-B

6-B

7-C

8-C

9-B

10-B

11-B

12-B

13-B

14-C

15-B

16-B

17-A

18-C

19-D

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Permutation and Combination | Concepts And Tricks

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