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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.

Q21

Q21 There are 4 bananas, 7 apples and 6 mangoes in a fruit basket. In how many ways can a person make a selection of fruits from the basket , in such a way that at least one fruit from each variety is selected . (Assume all the fruits are similar)

A

269

B

280

C

279

D

168

Q22

Q22 There are 4 bananas, 7 apples and 6 mangoes in a fruit basket. In how many ways can a person make a selection of one or more fruits from the basket. (Assume all the fruits are non-similar)

A

(2^17) - 1

B

(2^17)

C

279

D

168

Q23

Q23 There are 15 points in a plane out of which 6 are collinear. Find the number of lines that can be formed from 15 points.

A

105

B

90

C

91

D

95

Q24

Q24 Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be different.

A

4500 ways

B

54000 ways

C

65000 ways

D

12000 ways

Q25

Q25 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

Q26

Q26 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

Q27

Q27 Calculate the number of diagonals which can be drawn in a hexagon?

A

15

B

9

C

7

D

12

Q28

Q28 Using the digits 1, 2, 3, 4, 5, 6, 7, a number of 5 different digits is formed. Find how many of these are exactly divisible by 4?

A

3120

B

1560

C

600

D

390

Q29

Q29 What is the number of rectangles in an 8x8 chessboard ?

A

576

B

784

C

1024

D

1296

Q30

Q30 In how many ways can 4 letters be posted in 6 letter boxes?

A

256

B

64

C

216

D

1296

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