On account of the disruption in education due to the corona pandemic, we're are providing a 7-day Free trial of our platform to teachers. Know More →

IBPS

Explore popular questions from Permutation and Combination for IBPS. This collection covers Permutation and Combination previous year IBPS questions hand picked by experienced teachers.

Select Subject

Quantitative Aptitude

General Awareness

English Language

Computer Awareness

Reasoning

Hindi Language

Permutation and Combination

Correct Marks 1

Incorrectly Marks -0.25

Q 1. How many total numbers of seven-digit numbers can be formed having sum of whose digits is even is

A

9000000

4500000

C

8100000

D

4400000

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 2. In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women ?

A

266

B

86400

11760

D

5040

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 3. There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person {tex} 2 ; {/tex} task 2 must be assigned to either person 3 or person 4 . Every person is to be assigned one task. In how many ways can the assignment be done?

144

B

180

C

192

D

360

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 4. 4 boys and 2 girls are to be seated in a row in such a way that the two girls are always together. In how many different ways can they be seated?

A

120

B

720

C

148

240

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 5. Out of 15 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?

A

{tex} \frac { 12 } { 13 } {/tex}

{tex} \frac { 11 } { 13 } {/tex}

C

{tex} \frac { 10 } { 15 } {/tex}

D

{tex} \frac { 1 } { 15 } {/tex}

E

None of these

Explanation



Correct Marks 1

Incorrectly Marks -0.25

Q 6. How many three digit numbers can having only two consecutive digits identical is

A

153

162

C

168

D

163

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 7. How many total number of ways in which n distinct objects can be put into two different boxes is

A

{tex} n ^ { 2 } {/tex}

{tex} 2 ^ { n } {/tex}

C

{tex} 2 n {/tex}

D

{tex}3^n{/tex}

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 8. Letters of the word DIRECTOR are arranged in such a way that all the vowels come together. Find out the total number of ways for making such arrangement.

A

4320

B

2720

2160

D

1120

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 9. In how many ways can the letters of the word 'PRAISE' be arranged. So that vowels do not come together?

A

720

576

C

440

D

144

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 10. How many total numbers of not more than 20 digits that can be formed by using the digits {tex} 0,1,2,3 \ \text{and} \ 4{/tex} is

{tex} 5 ^ { 20 } {/tex}

B

{tex} 5 ^ { 20 } - 1 {/tex}

C

{tex} 5 ^ { 20 } + 1 {/tex}

D

{tex} 6 ^ { 20 } {/tex}

E

None of these

Explanation



Correct Marks 1

Incorrectly Marks -0.25

Q 11. A box contains 5 green, 4 yellow and 3 white marbles, 3 marbles are drawn at random. What is the probability that they are not of the same colour?

A

{tex} \frac { 13 } { 44 } {/tex}

{tex} \frac { 41 } { 44 } {/tex}

C

{tex} \frac { 13 } { 55 } {/tex}

D

{tex} \frac { 52 } { 55 } {/tex}

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 12. The number of all possible selections of one or more questions from 10 given questions, each question having one alternative is

A

{tex} 3 ^ { 10 } {/tex}

B

{tex} 2 ^ { 10 } - 1 {/tex}

{tex} 3 ^ { 10 } - 1 {/tex}

D

{tex} 2 ^ { 10 } {/tex}

E

None of these

Explanation

Correct Marks 4

Incorrectly Marks -1

Q 13. All possible two factors products are formed from the numbers 1, 2, 3, 4, ....., 200. The number of factors out of total obtained which are multiples of 5 is

A

5040

7180

C

8150

D

7280

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 14. In how many different ways can a group of 4 men and 4 women be formed out of 7 men and 8 women?

2450

B

105

C

1170

D

Cannot be determined

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 15. A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of {tex} 5 , {/tex} given that two of the friends will not attend the party together is

A

56

B

126

91

D

94

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 16. In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?

48

B

24

C

120

D

60

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 17. The number of six digit numbers that can be formed from the digits {tex} 1,2,3,4,5,6 {/tex} and {tex}7{/tex} so that digits do not repeat and the terminal digits are even is

A

144

B

72

C

288

720

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 18. In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?

A

{tex} \frac { 1 } { 55 } {/tex}

{tex} \frac { 54 } { 55 } {/tex}

C

{tex} \frac { 45 } { 55 } {/tex}

D

{tex} \frac { 3 } { 55 } {/tex}

E

None of these

Explanation



Correct Marks 1

Incorrectly Marks -0.25

Q 19. In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?

A

13440

B

1440

C

360

D

120

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 20. The number of ways in which ten candidates {tex} \mathrm { A } _ { 1 } , \mathrm { A } _ { 2 } , \ldots , \mathrm { A } _ { 10 } {/tex} can be ranked so that {tex} \mathrm { A } _ { 1 } {/tex} is always above {tex} \mathrm { A } _ { 2 } {/tex} is

{tex} \frac { 10 ! } { 2 } {/tex}

B

{tex} 10 ! {/tex}

C

{tex} 9 ! {/tex}

D

{tex} \frac { 8 ! } { 2 } {/tex}

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 21. In how many different ways can the letters of the word BOOKLET be arranged such that B and T always come together?

A

360

720

C

480

D

5040

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 22. If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is

A

85

B

100

120

D

240

E

None of these

Explanation


Correct Marks 1

Incorrectly Marks -0.25

Q 23. In how many different ways can the letters of the word RUMOUR be arranged?

180

B

720

C

30

D

90

E

None of these

Explanation

Correct Marks 1

Incorrectly Marks -0.25

Q 24. 765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns. How many chairs will be excluded to make this arrangement possible?

A

6

36

C

19

D

27

E

None of these

Explanation