Answer :

As **ABACUS** is a 6-letter word with 3 of the letters being vowels i.e. A, A,U.

If the 3 vowels must appear together, then there will 3 other consonants and a set of 3 vowels together.

Considering vowels as a single word there will be 4 words which can be arranged in 4! Ways.

In the vowels there are repeating vowels.

So, the 3 vowels can rearrange amongst themselves in ways.

Hence, the total number of rearrangements in which the vowels appear together are:

= 4× 3× 3× 2× 1

= 72 ways

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