Permutation Question Preview (ID: 47868)


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Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
a) 24400
b) 21300
c) 210
d) 25200

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?
a) 159
b) 209
c) 201
d) 212

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?
a) 624
b) 702
c) 756
d) 812

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
a) 610
b) 720
c) 825
d) 920

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
a) 47200
b) 48000
c) 42000
d) 50400

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?
a) 1
b) 126
c) 63
d) 64

In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
a) 9800
b) 100020
c) 120960
d) 140020

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?
a) 10420
b) 11
c) 11760
d) 1052

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?
a) 720
b) 420
c) 240
d) 5040

A coin is tossed 3 times. Find out the number of possible outcomes.
a) 3
b) 8
c) 24
d) 36

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