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Chapter 4: Problem 52

A student is to select three classes for next semester. If this student decides to randomly select one course from each of eight economics classes, six mathematics classes, and five computer classes, how many different outcomes are possible?

Short Answer

Expert verified
The student has 240 different possible outcomes when choosing their next classes for the term.

Step by step solution

01

Identify the number of outcomes for each class

The student has 8 economics classes to choose from, 6 mathematics classes, and 5 computer classes.
02

Use the Counting Principle

The counting principle states that if there are \(a\) ways to do one thing, and \(b\) ways to do another, and \(c\) ways to do yet another, then there are \(a \times b \times c\) ways to do all three. Apply this principle to this problem: multiply the number of choices for each class: \(8 \times 6 \times 5\).
03

Compute the total number of outcomes

By multiplying the choices together: \(8 \times 6 \times 5 = 240\), this gives the total number of different outcomes or combinations. So there are 240 different ways the student can select one class from each subject.

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