# Permutation and Combinations Aptitude Questions

Permutation and Combinations is a topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a tricky way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are Permutation and Combinations, Basic Questions from Permutations, Permutation of Similar Objects, etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Calendar and Clocks Question practice before coming to this page if not make sure you solve questions from Calender and clocks  Questions. Second, after you complete this section solve questions from Data Interpretation Aptitude Questions.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

In how many ways can the letters of the word 'LEADER' be arranged?

Level 1 Permutation and Combinations Basic Questions from Permutations
A

72

B

144

C

360

D

720

E

None of these

Q2

In how many different ways can the letters of the word 'RUMOUR' be arranged?

Level 1 Permutation and Combinations Permutation of Similar Objects
A

180

B

90

C

30

D

720

E

None of these

Q3

In how many different ways can the letters of the word 'AUCTION' be arranged so that the vowels always come together?

Level 1 Permutation and Combinations Objects Position Fixed
A

30

B

48

C

144

D

576

E

None of these

Q4

In how many different ways can the letters of the word 'BANKING' be arranged so that the vowels always come together?

Level 1 Permutation and Combinations Objects Position Fixed
A

120

B

240

C

360

D

540

E

720

Q5

In how many different ways can the letters of the word SMART be arranged?

Level 1 Permutation and Combinations Basic Questions from Permutations
A

25

B

60

C

180

D

200

E

None of these

Q6

In how many different ways can the letters of the word INCREASE be arranged?

Level 1 Permutation and Combinations Basic Questions from Permutations
A

40320

B

10080

C

20160

D

64

E

None of these

Q7

In how many different ways can the letters of the word BAKERY be arranged?

Level 1 Permutation and Combinations Basic Questions from Permutations
A

2400

B

2005

C

720

D

5040

E

None of these

Q8

In how many different ways can the letters of the word DISPLAY be arranged?

Level 1 Permutation and Combinations Basic Questions from Permutations
A

720

B

1440

C

2520

D

5040

E

None of these

Q9

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Level 2 Permutation and Combinations Basic Questions from Combinations
A

266

B

5040

C

11760

D

86400

E

none of these

Q10

How many 3-digit numbers can be formed from the digits 2,3,5,6,7 and 9, which are divisible by 5 and none of the digits is repeated?

Level 2 Permutation and Combinations Basic Questions from Combinations
A

5

B

10

C

15

D

20

Q11

In how many different ways can the letters of the word BANKING be arranged in such a way that the vowels always come together?

Level 2 Permutation and Combinations Objects Position Fixed
A

120

B

240

C

360

D

540

E

720

Q12

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Level 2 Permutation and Combinations Objects Position Fixed
A

810

B

1440

C

2880

D

50400

E

5760

Q13

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 on the committee. In how many ways can it be done?

Level 2 Permutation and Combinations Basic Questions from Combinations
A

564

B

645

C

735

D

756

E

None of these

Q14

Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is a woman. In how many different ways can it be done?

Level 2 Permutation and Combinations Basic Questions from Combinations
A

76

B

80

C

84

D

96

E

None of these

Q15
In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels always come together?
Level 2 Permutation and Combinations Objects Position Fixed
A

30

B

48

C

144

D

576

E

None of these

Q16

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done if the committee should have 2 trainees and 3 research associates?

Level 2 Permutation and Combinations Basic Questions from Combinations
A

15

B

45

C

60

D

9

E

None of these

Q17

There are six teachers. Out of them two are primary teachers and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teachers and secondary teachers are always in a set. The number of ways in which they can do so, is

Level 3 Permutation and Combinations Objects Position Fixed
A

52

B

48

C

34

D

None of these

Q18

In how many different ways can the letters of the word CORPORATION be arranged in such a way that the vowels always come together?

Level 3 Permutation and Combinations Permutation of Similar Objects
A

810

B

1440

C

2880

D

50400

E

5760

Q19

In an examination there are three multiple choice questions and each question has 4 choices. The number of ways in which a student can fail to get all answers correct is

Level 2 Permutation and Combinations Objects Position Fixed
A

11

B

27

C

12

D

63

Q20

In how many different ways can the letters of the word GAMBLE be arranged?

Level 1 Permutation and Combinations Basic Questions from Permutations
A

15

B

25

C

60

D

125

E

None of these