Joseph is buying a new set of DJ equipment. Joseph can afford one mixer and one turntable, and is trying to decide among 2 different mixers and 4 different turntables. There are 2 different speaker setups in Joseph's price range. Finally, Joseph wants to buy one of 5 different lighting sets. How many different sets of DJ equipment can Joseph buy?
sets
Joseph has 2 choices of mixers and 4 choices of turntables, giving him a total of 2 x 4 = 8 different combinations of mixer and turntable. He then has 2 choices of speaker setup and 5 choices of lighting set, giving him a total of 2 x 5 = 10 different combinations of speaker setup and lighting set. Finally, he can combine any of these with one of his 8 mixer/turntable combinations, giving him a total of 8 x 10 = 80 different sets of DJ equipment he can buy.
Therefore, Joseph can buy 80 different sets of DJ equipment.