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

For each category (gender, age, payment method), multiply the number of options.
Number of gender options: \(2\) (male or female)
Number of age options: \(2\) (over 30 or under 30)
Number of payment - method options: \(2\) (cash or credit card)
The total number of ways \(N=2\times2\times2\)

Step2: Calculate the result

$$
LATEXBLOCK0
$$

Answer:

\(8\)