Permutations-and-Combinations-Solved-Examples-Set-1, MCQ (Free PDF)


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1. 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
Answer : Option D

2. 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
Answer : Option B

3. 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 on the committee. In how many ways can it be done?
A. 624
B. 702
C. 756
D. 812
Answer : Option C

4. 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
Answer : Option B

5. 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
Answer : Option D

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