Question

In how many different ways the word keyword can be arranged so that the vowels are always together

Answer 1

Let us assume the 2 vowels in the word keyword to be a single letter.
So, now we are left with 6 letters by assuming the 2 vowels to be a single letter.
These 6 letters can be arranged in 6! ways.

Also the 2 vowels( e and o ) can be themselves arranged in 2! ways.
Hence, the total number of ways of arranging the letters of the word keyword are = 6!×2! =1440
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