Question

an ice cream store sells 5 drinks, in 5 sizes, and 5 flavors. in how many ways can a customer order a drink?
there are \square ways that the customer can order a drink.

Explanation:

Step1: Apply the fundamental counting principle

The fundamental counting principle states that if there are \(m\) ways to do one thing, \(n\) ways to do a second thing, and \(p\) ways to do a third thing, then the total number of ways to do all three things together is \(m\times n\times p\). Here, \(m = 5\) (number of drinks), \(n=5\) (number of sizes), and \(p = 5\) (number of flavors).

Step2: Calculate the product

We calculate \(5\times5\times5\).
First, \(5\times5=25\), then \(25\times5 = 125\).

Answer:

\(125\)