In how many different ways can the letters of the word 'Binary' be arranged so that the vowels always come together?

Question: In how many different ways can the letters of the word 'Binary' be arranged so that the vowels always come together?

Solution:
the given words contain 6 diffrerent letters.
When the vowels 'ia' are taken together, we may treat them as 1 letter.

5 numbers can be arranged in 5! ways
= 120 ways

two vowels can be arranged = 2! ways
= 2 ways

∴ Total number of arrangement = 120 × 2 ways
= 240 ways