Question

A waffle house offers 8 different types of syrups. If customers can choose any number of syrups to have with their waffle, how many syrup combinations are possible? Provide your answer below:

Answer 1

There are 16,777,216 possible syrup combinations at the waffle house.

Step-by-step explanation:

In this question, we are asked to find the number of syrup combinations possible at a waffle house that offers 8 different types of syrups. Since customers can choose any number of syrups to have with their waffle, we need to consider all possible combinations of syrups.

The number of possible combinations can be found using the concept of permutations. With 8 types of syrups, we have 8 choices for the first syrup, 8 choices for the second syrup, and so on. Therefore, the total number of syrup combinations is 8 x 8 x 8 ... (8 times) =
`8^(2)`= 16,777,216.

So, there are 16,777,216 possible syrup combinations at the waffle house.