Permutation and combinations quiz 1

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?

24400

24400

21300

21300

210

210

25200

25200

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Question 2

Time: 00:00:00
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

159

159

209

209

212

212

201

201

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Question 3

Time: 00:00:00
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?

624

624

702

702

756

756

812

812

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Question 4

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

610

610

720

720

825

825

920

920

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Question 5

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

47200

47200

48000

48000

42000

42000

50400

50400

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Question 6

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?

1

1

126

126

63

63

64

64

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Question 7

Time: 00:00:00
In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?

9800

9800

100020

100020

120960

120960

140020

140020

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Question 8

Time: 00:00:00
There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?

10420

10420

11

11

11760

11760

None of these

None of these

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Question 9

Time: 00:00:00
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

720

720

420

420

5040

5040

None of these

None of these

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Question 10

Time: 00:00:00
A coin is tossed 3 times. Find out the number of possible outcomes.

1

1

2

2

8

8

None of these

None of these

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["0","40","60","80","100"]
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