# Derangement

## Trending Questions

**Q.**In how many ways can a group of 5 men and 2 women be made out of total of 7 men and 3 women?

- 45
- 90
- 126
- 63
- None of these

**Q.**Out of 5 men and 3 women, a committee of 3 members is to be formed so that it has 1 woman and 2 men. In how many different ways can it be done?

- 10
- 20
- 23
- 30
- None of these

**Q.**

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

- Cannot be determined
- None of these
- 2450
- 1170
- 105

**Q.**

There are 6 women and 7 men in a group. A committee of 4 is to be chosen from this group.

In how many different ways can a committee be formed that contains three women and one man?

7

140

20

120

none

**Q.**The committee should consist of 2 students, 2 teachers and 1 sports coach?

- None of these
- 25
- 64
- 9
- 36

**Q.**

22, 26, 34, 50, 82, __

156

146

136

150

None of These

**Q.**Any teacher can be included in the committee?

- 924
- 844
- None of these
- 626
- 718

**Q.**Any five people can be selected?

- 126
- 45
- 120
- 24
- None of these

**Q.**In how many of these committees the women are in majority?

- 2000
- 2700
- 2705
- 2702
- None of these

**Q.**

In how many ways can 6 different toys be packed in 4 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

6

^{4}4

^{6}720

none

24

**Q.**The committee should have 2 trainees and 3 research associates?

- 45
- 60
- 9
- 15
- None of these

**Q.**

A bookshelf can accommodate 6 books from left to right. If 8 identical books on each of the languages A, B, C and D are available, in how many ways can the bookshelf be filled such that books of the same language are not put adjacent to each other?

**Q.**

In how many ways can a committee of 4 people can be chosen out of 9 people?

152

116

150

none

126

**Q.**A committee of 5 is to be formed out of 6 gents and 4 ladies. in how many ways this can be done, when at least two ladies are included

**Q.**

In how many ways can a committee of 6 people which contains exactly 3 businessmen and 2 sweepers be formed?

none

50

105

90

150

**Q.**

In how many ways can a committee of 5 people which contains only teachers be formed?

none

6

5

3

4

**Q.**

In how many ways can a committee of 5 people which contains at least 1 clerk be formed?

5655

5565

5755

5855

none

**Q.**

In how many ways can a committee of 5 people be formed, such that it contains at least 1 social worker?

5440

2380

6804

6488

None of these

**Q.**

In how many ways can a committee of 5 people be formed, such that it contains at least 1 social worker?

5440

6804

6488

None of these

**Q.**All possible two factor products are formed from the numbers 101, 102, 103, …..200. How many numbers out of the total obtained are multiples of 7?

- 1204
- 1295
- 1306
- 2211
- 3600

**Q.**There are 7 couples in a dance party. How many dance pairs can be there such that exactly 2 pairs are the original couples?

- 765
- 924
- 904
- 1222
- none of these

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

- 80
- 84
- 76
- 96
- None of these

**Q.**The number of ways of arranging 6 players to throw the cricket ball so that the oldest player may not throw first is:

- 7156
- 120
- 600
- 720

**Q.**In how many ways can you put 7 letters into their respective envelopes such that exactly 3 go into the right envelope?

- 530
- 24
- 102
- 315
- 360

**Q.**

"The silence of the evening was broken when I heard my sister's shrill cry ......"