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If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are?
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If the letter word DAUGHTER are to be arranged so that vowels occupy t...
Arranging the Word DAUGHTER with Vowels in Odd Places
Step 1: Identify the Vowels
- The vowels in the word DAUGHTER are A, U, and E.
Step 2: Determine the Odd Positions
- The odd positions in a seven-letter word are 1, 3, 5, and 7.
- In this case, the vowels must occupy positions 1, 3, and 5.
Step 3: Arrange the Vowels
- Start by placing the first vowel, A, in the first position (1).
- There are two remaining vowels (U and E) to be placed in positions 3 and 5.
- There are two ways to arrange the remaining vowels: UE or EU.
Step 4: Arrange the Consonants
- There are four consonants in the word DAUGHTER: D, G, H, and T.
- These consonants must be placed in the even positions (2, 4, 6) and the last position (7).
- There are four ways to arrange the consonants: DGH, DGT, GHD, and GHT.
Step 5: Combine the Vowels and Consonants
- There are two ways to arrange the remaining vowels and four ways to arrange the consonants.
- Therefore, there are 2 x 4 = 8 different ways to arrange the word DAUGHTER with vowels in odd places.
Step 6: Final Answer
- The number of different words that can be formed by arranging the letters of the word DAUGHTER so that the vowels occupy the odd places is 8.
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If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are?
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If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are?.
If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the letter word DAUGHTER are to be arranged so that vowels occupy the odd places then number of different words are?.
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