How many words can be formed from the letters of the word 'DAUGHTE | Filo
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Class 11

Math

Algebra

Permutations and Combinations

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How many words can be formed from the letters of the word 'DAUGHTER' so that the vowels always come together?

  1. None of these
Correct Answer: Option(c)
Solution:
Take all the vowels A U E together and take them as one letter.
Then, the letters to be arranged are D, G, H, T, R, (A U E).
These letters can be arranged in places in ways.
Now, letters A, U, E among themselves can be arranged in ways.
required number of words .
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