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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?

To determine

The number of ways in which the commuter can make a round trip from Ajax to Barrie.

Explanation

Approach:

The Fundamental counting principle states that “For any number of events E1,E2,.....,En occurs in n1,n2,....,nn number of ways, then the whole event can occur in n1×n2×....×nn ways.”

The number of ways in which the commuter can select two different roads to complete one round-trip is given by,

Numberofways=n1×n2 ...(1)

Given:

Number of roads connecting Ajax and Barrie are 4

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Chapter 14 Solutions

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