Chapter 13.1, Problem 34AYU

Make up a problem different from any found in the text that requires the addition principle of counting to solve. Give it to a friend to solve and critique.

To determine

To write: A problem different from any found in the text that requires the addition principle of counting to solve.

Answer to Problem 34AYU

6

Explanation of Solution

Given:

To consider any problem that requires the addition principle of counting to solve.

Let us consider the following problem.

There are 3 different ways from playground $A$ to playground $B$ and 2 different ways from playground $B$ to playground $C$. In how many ways can someone go from playground $A$ to playground $C$ passing by playground $B$?

The total number $N$ of different ways that someone can go from playground $A$ to playground $C$ passing through playground $B$ is given by $3*2=6$.