Problem 3, part c

Hi!

How are you?

I had the same thought process of placing the two bedrooms as one sample space. However, I interpreted the question as finding number of ways for the bedrooms to have identical colours and having repeated colours for the other 5 rooms (excluding the colour chosen for the 2 bedrooms). With which, I came up with 9 X (8^5). 9 being sample space of 2 bedrooms and (8^5) being sample space of the other 5 rooms with repeated variations.

My question is, if that is a possible way to calculate the number of ways?

Thank you for your time!