The harris family is selecting a furniture set. a furniture set has a bed, a desk and a dresser. there are 5 beds, 1 desk, and 2 dressers to select from. how many different furniture sets could they select?

They can select only one set.

Because a whole set includes one item of each and the store supplies 5 beds, 1 desk, and 2 dressers, that would mean that if the Harris family selects one set, the supply is left with 4 beds, 0 desks, and 1 dresser. After that, there isn't another desk available to supply another furniture set.