At a local hardware store, Peter is selecting tools for a small toolkit, which will include one of each type of tool. There are 3 hammers and 2 screwdrivers to choose from. For the wrench, Peter has 2 options. How many different toolkits can Peter build?
toolkits
Peter can build 12 different toolkits.
To see why, consider that there are 3 choices for the hammer, 2 choices for the screwdriver, and 2 choices for the wrench. Using the multiplication principle, we multiply these numbers together to get:
3 × 2 × 2 = 12
So there are 12 different ways Peter can choose one of each type of tool to build his toolkit.