Chapter 15.5, Problem 2OE

To determine

To calculate: The number of routes that goes up the north face and down the south face.

Answer to Problem 2OE

The number of routesare $6$ .

Explanation of Solution

Given information:

North face of Mount Ezra has 3 trails and south face of Mount Ezra has 2 trails.

Formula used:

Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are $m\times n$ number of ways in which two selection can be made.

Calculation:

Consider the provided information that North face of Mount Ezra has 3 trails and south face of Mount Ezra has 2 trails.

There are 3 routes for north face.

There are 2 routes for south face.

Recall that Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are $m\times n$ number of ways in which two selection can be made.

Therefore, the number of routes that goes up to north face and down the south face are

  $3\times 2=6$

Thus, the number of routes are $6$ .