ACT ASPIRE Math Tip

Published on Thursday, June 23rd, 2016 by

Zach has 3 pairs of shoes, 8 shirts, and 5 pairs of jeans. He believes that there are 16 distinct outfits he can wear—each consisting of a pair of shoes, a shirt, and a pair of jeans—because 3 + 8 + 5 = 16 outfits. What was Zach’s mistake and what is the actual number of distinct outfits he can wear?

 

 

 

Scroll down or click here for the answer!

 

 

 

 

 



Zach incorrectly added instead of multiplying. The correct number of distinct outfits is given by 3 ⋅ 8 ⋅ 5 = 120 outfits.