Example 1. How many ways can 5 people stand in a line?
First thing you should do is draw 5 little dashes and put how many people could be in that spot. So it would be 5 4 3 2 1. Now you have to multiply them together. This is also the same thing as saying 5!. You answer would be 120.
Example 2. How many ways can you answer 5 true false questions?
This one is a little bit different. Since you can have either true or false you would do that number raised to how many questions there is. So you would get 2^5 which is 32. 32 I your answer
Example 3. How many sweater/pants combinations can you have with 2 pants and 4 sweaters?
On this problem all you have to do is multiply the two number together. So you answer is 8.
That's about it for counting principle.
--Carley
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