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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.

Q1

Q1 There are 4 different types of chocolates and 5 different types of ice creams, in how many ways can a person buy a chocolate and an ice cream ?

A

9

B

20

C

15

D

45

Q2

Q2 How many ways can the letters of the word “ORANGE” be arranged ?

A

120

B

240

C

60

D

720

Q3

Q3 How many ways can the letters of the word “ORANGE” be arranged , in such a way that O and A are never together ?

A

240

B

360

C

480

D

600

Q4

Q4 How many ways can the letters of the word “ORANGE” be arranged , in such a way that all the vowels are together ?

A

48

B

72

C

96

D

144

Q5

Q5 What is the rank of a word TIGER, if all possible permutations of the word TIGER are arranged in dictionary order.

A

99

B

111

C

110

D

109

Q6

Q6 In how many ways can 3 men and 3 women be seated at around table such that no two men sit together?

A

36

B

30

C

24

D

42

Q7

Q7 In how many ways 8 ice creams can be selected from 15 non-identical ice creams?

A

8 C 15

B

15 C 7

C

14!

D

1

Q8

Q8 From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?

A

624

B

702

C

756

D

812

Q9

Q9 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

Q10

Q10 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

12...4
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Practice Permutations and Combinations Questions & Answers

The more questions a candidate answers, the better their understanding of the Permutations and Combinations concepts and their ability to answer quickly and accurately.

Importance: High

Difficulty level: 5 out of 5 (Hard)

Examination- SSC, Banking, GMAT, GRE, SAT, CAT, etc.

Parent section: Quantitative Aptitude

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