A contractor has five styles of homes, each with six styles of garages, five styles of decks, and six styles of carpeting. How many different possible homes are there?

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Answer:

First, we need to list all the possible selections and the number of options that each selection has:

Style of home: 5 options.

Style of garage: 6 options.

Style of decks: 5 options.

Style of carpeting: 6 options.

The number of different combinations of possible homes is equal to the product between the number of options for each selection.

This is:

C = 5*6*5*6 = 900

So there are 900 possible houses (that are all different in some aspect)

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