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The number of words, that can be formed by using all letters o

Question

The number of words, that can be formed by using all letters of the word DAUGHTER, if relative order of vowels and consonants remains same, are

2880

6720

720

3600

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The number of words, that can be formed by using all letters of the word DAUGHTER, if relative order of vowels and consonants remains same, are

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Text solutionVerified

The given word consist of 8 different letters in which

3

are vowels and

5

are consonants.

The relative position of vowel and consonants remain same means that vowel can take place of vowel and consonants to take place of consonants.

Now the

3

vowels can be arranged among themselves in

3! = 3! 2! 1! = 6

ways

The

5

consonants can be arranged among themselves in

5! = 5! 4! 3! 2! 1! = 120

ways

∴

The total numbers of words that can be formed

= 120 \times 6 = 720

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Question Text	The number of words, that can be formed by using all letters of the word DAUGHTER, if relative order of vowels and consonants remains same, are
Answer Type	Text solution:1
Upvotes	150