A bakery makes 4 different kids of cake. Each cake can have 3 different kinds of frosting. Each frosted cake can be decorated in 2 different ways. How many ways are there of ordering a decorated, frosted cake?
To find the total number of ways to order a decorated, frosted cake, we need to multiply the number of options for each step.
Step 1: Choosing a type of cake
Since there are 4 different types of cake, we have 4 options.
Step 2: Choosing a type of frosting
For each type of cake, there are 3 different types of frosting available. So, there are a total of 4 x 3 = 12 options for the cake and frosting combination.
Step 3: Choosing a decoration
After selecting the cake and frosting, we have 2 different options for decorating the cake.
To find the total number of ways to order a decorated, frosted cake, we multiply the number of options for each step: 4 x 3 x 2 = 24.
Therefore, there are 24 ways to order a decorated, frosted cake from this bakery.