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Permutations and Combinations Questions & Answers

Practice essential Permutations and Combinations questions prepared by industry experts. Permutations and Combinations questions and answers have a high weightage in the examination and must be mastered.

Q11

Q11 How many integers, greater 999 but not greater than 4000, can be formed with the digit 0, 1, 2, 3 and 4, if repletion of digits is allowed?

A

376

B

360

C

420

D

data inadequate

Q12

Q12 In IPL, there are 153 matches played, every two teams played one match with each other. The number of teams participating in the championship is:

A

18

B

16

C

20

D

19

Q13

Q13 Calculate the number of diagonals which can be drawn in a hexagon?

A

15

B

9

C

7

D

12

Q14

Q14 What is the number of rectangles in an 8x8 chessboard ?

A

576

B

784

C

1024

D

1296

Q15

Q15 In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?

A

23

B

24

C

64

D

56

Q16

Q16 How many distinct terms will be there in expansion of (a+b+c)^20 ?

A

190

B

210

C

231

D

253

Q17

Q17 There are 4 different types of chocolates and 5 different types of ice creams, in how many ways can a person buy a chocolate or an ice cream ?

A

9

B

20

C

15

D

45

Q18

Q18 There are 4 different types of chocolates, 5 different toys and 3 different types of ice creams, in how many ways can a person buy a chocolate or an ice cream and a toy ?

A

12

B

60

C

35

D

45

Q19

Q19 How many ways can the letters of the word “MISSISSIPPI” be arranged ?

A

11!

B

11!/(4!x4!x2!)

C

10!/8!

D

10!/(4!x4!)

Q20

Q20 How many ways can the letters of the word “ORANGE” be arranged , in such a way that O and A are always together ?

A

120

B

240

C

360

D

480

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