How many words can be formed from the letters of the word SIGNATURE such that vowels come together?

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Answer & Explanation

Answer: Option D

Explanation:

The word 'SIGNATURE' contains 9 different letters.

When the vowels IAUE are taken together, they can be supposed to form an entity, treated as one letter.

Then, the letters to be arranged are SGNTR (IAUE).

These 6 letters can be arranged in 6P6 = 6 ! = 720 ways.

The vowels in the group (IAUE) can be arranged amongst themselves in 4P4 = 4 ! = 24 ways.

$$\therefore$$ Required number of words = (720 * 24) = 17280.