# Dell Permutation & Combination Questions

Question 1

Time: 00:00:00
```Out of 7 consonants and 4 vowels, how many words of 3 consonants
and 2 vowels can be formed?```

25200

25200

52000

52000

120

120

24400

24400

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Question 2

Time: 00:00:00
```A committee of 5 persons is to be formed from 6 men and 4 women.
In how many ways can this be done when at least 2 women are
included ?```

196

196

186

186

190

190

200

200

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Question 3

Time: 00:00:00
```In how many different ways can the letters of the word 'LEADING'
be arranged in such a way that the vowels always come together?```

720

720

520

520

700

700

750

750

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Question 4

Time: 00:00:00
```n how many different ways can the letters of the word 'OPTICAL'
be arranged so that the vowels always come together?```

360

360

700

700

720

720

120

120

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Question 5

Time: 00:00:00
```A college has 10 basketball players. A 5-member team and a captain
will be selected out of these 10 players. How many different

1260

1260

1400

1400

1250

1250

1600

1600

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Question 6

Time: 00:00:00
```How many 4-letter words with or without meaning, can be formed
out of the letters of the word, 'LOGARITHMS', if repetition
of letters is not allowed?```

4050

4050

3600

3600

1200

1200

5040

5040

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Question 7

Time: 00:00:00
```12 people at a party shake hands once with everyone else in the
room.How many handshakes took place?```

72

72

66

66

76

76

64

64

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Question 8

Time: 00:00:00
```In how many ways can a group of 5 men and 2 women be made out
of a total of 7 men and 3 women?```

135

135

63

63

125

125

64

64

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Question 9

Time: 00:00:00
```There are 7 non-collinear points. How many triangles can be
drawn by joining these points?```

10

10

30

30

35

35

60

60

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Question 10

Time: 00:00:00
```In how many ways a committee, consisting of 5 men and 6 women
can be formed from 8 men and 10 women?53400```

17610

17610

11760

11760

45000

45000

43000

43000

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