Permutation and Combination Questions and Answers updated daily – Aptitude



10 Permutation and Combination Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Permutation and Combination online test. Permutation and Combination Questions with detailed description, explanation will help you to master the topic.

Permutation and Combination Questions

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



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Correct Ans:720
Explanation:


2.
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?



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Correct Ans:120960
Explanation:


3. In how many ways can the letters of the CHEATER be arranged



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Correct Ans:2520
Explanation:


4. In how many way the letter of the word "APPLE" can be arranged



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Correct Ans:60
Explanation:


5.  In how many words can be formed by using all letters of the word BHOPAL



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Correct Ans:720
Explanation:
Required number
=6!=6∗5∗4∗3∗2∗1=720


6. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?



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Correct Ans:25200
Explanation:


7.
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?



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Correct Ans:50400
Explanation:


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



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Correct Ans:720
Explanation:

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.



9. 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?



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Correct Ans:756
Explanation:


10. How many words can be formed by using all letters of TIHAR



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Correct Ans:120
Explanation:
First thing to understand in this question is that it is a permutation question.
Total number of words = 5
Required number =
5P5=5!=5∗4∗3∗2∗1=120



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