5. In a tree diagram, you have 4 ways to do the first event, 3 ways to do the second event, 5 ways to do the third and 4 ways to do the fourth. For each of the following, state whether it is true or false and explain why.

1. You can add the numbers to get n(S). True or False
2. Explain why you chose the answer you did to the statement: you can add the numbers to get n(S).
3. There are 16 total pathways for n(S). True or False
4. Explain why you chose the answer you did to the statement: There are 16 total pathways for n(S).
5. There are 240 different pathways through the tree. True or False
6. Explain why you chose the answer you did to the statement: there are 240 different pathways through the tree.
7. This is called a compound event. True or False
8. Explain why you chose the answer you did to the statement: this is called a compound event.
9. You can use the fundamental counting principle to get n(S).