The kitchen, dining room, and living room of a house will be painted, each with a different color. There are 7 colors to choose from. This means that there are _[blank]_ color arrangements possible.

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.