Counting Principle

This weekend I am going to teach you all about the counting principle. These problems are very easy after you figure out what you have to do. Different problems have different methods of solving them. Some problems may be simple multiplication while some may require you to raise to a power and then multiply. Now I will show you some examples of these problems.

Example 1: How many ways can 6 students stand in line?
First of all you would draw six little lines for each spot in line. Then you would write one number in each spot. It would look like this 6 5 4 3 2 1. Then you would multiply all of the numbers together. The answer would be 720.

Example 2: In how many different ways can you answer 6 multiple choice questions if each question has two answer options?
For this problem you would take the number of answers, 2, and raise it to the number of questions, 6. 2^6=64. The answer would be 64.


-Braxton-