Question

shoppers in a large shopping mall are categorized as male or female, over 30 or 30 and under, and cash or credit card shoppers. in how many ways can the shoppers be categorized? the shoppers can be categorized in \\(\square\\) different ways.

Explanation:

Step1: Use the multiplication principle

The number of ways to categorize shoppers is the product of the number of ways for each category. There are 2 ways for gender (male or female), 2 ways for age (over 30 or under), and 2 ways for payment (cash or credit card).
$$2\times2\times2$$

Step2: Calculate the result

$$2\times2\times2 = 8$$

Answer:

8