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Chapter 11: Problem 11

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?

Short Answer

Expert verified
Shoppers can be categorized in 8 different ways.

Step by step solution

01

- Identify the number of options in each category

In the category of gender, there are 2 options: male and female. In the category of age, there are also 2 options: over 30 and 30 and under. In the payment method category, there are again 2 options: cash and credit card.
02

- Use the principle of multiplication for counting

This principle states that if one event can occur in 'm' ways and a second can occur independently of the first in 'n' ways, then the two events can occur in 'm*n' ways. In this case, the number of ways shoppers can be categorized is: number of gender options * number of age categories * number of payment method options.
03

- Calculate the number of ways

So, the number of ways shoppers can be categorized is: 2 (gender options) * 2 (age options) * 2 (payment options) = 8.

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