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In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
- a)36
- b)64
- c)120
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In how many different ways can the letters of the word DETAIL be arran...
There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants.
Let us mark these positions as under:
(1) (2) (3) (4) (5) (6)
Now, 3 vowels can be placed at any of the three places out 4, marked 1, 3, 5.
Number of ways of arranging the vowels = 3P3
= 3! = 6.
Also, the 3 consonants can be arranged at the remaining 3 positions.
Number of ways of these arrangements = 3P3
= 3! = 6.
Total number of ways = (6 x 6) = 36.
Most Upvoted Answer
In how many different ways can the letters of the word DETAIL be arran...
As there are sixwords I. detail so maximum probability is square of six that is 6^2 =36 which is the correct answer...
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Community Answer
In how many different ways can the letters of the word DETAIL be arran...
There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants.
Let us mark these positions as under:
(1) (2) (3) (4) (5) (6)
Now, 3 vowels can be placed at any of the three places out 4, marked 1, 3, 5.
Number of ways of arranging the vowels = 3P3
= 3! = 6.
Also, the 3 consonants can be arranged at the remaining 3 positions.
Number of ways of these arrangements = 3P3
= 3! = 6.
Total number of ways = (6 x 6) = 36.
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In how many different ways can the letters of the word DETAIL be arranged such that the vowels must occupy only the odd positions?a)36b)64c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many different ways can the letters of the word DETAIL be arranged such that the vowels must occupy only the odd positions?a)36b)64c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many different ways can the letters of the word DETAIL be arranged such that the vowels must occupy only the odd positions?a)36b)64c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
In how many different ways can the letters of the word DETAIL be arranged such that the vowels must occupy only the odd positions?a)36b)64c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many different ways can the letters of the word DETAIL be arranged such that the vowels must occupy only the odd positions?a)36b)64c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many different ways can the letters of the word DETAIL be arranged such that the vowels must occupy only the odd positions?a)36b)64c)120d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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