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Combination with Restrictions

The number of...

Question

The number of words that can be formed with the letters of the word DAUGHTER so that vowels remain always together is

A

1320

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B

2320

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C

3320

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D

4320

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Solution

The correct option is D 4320
Required number of words = 6! 3!
[ $∵$ three vowels can be bundled in 3! Ways. Vowels bundle + 5 consonants = 6 can be an arranged in 6! Ways.]

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Q. Find the number of words those can be formed by using all letters of the word ' DAUGHTER'. If
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(ii) Start with letter

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(iv) No two letters of

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