Please complete the following questions. It is important that you show all work you did to solve the problems. This includes any calculations, diagrams, or graphs that helped you solve it.
1) Open Ended. Describe a situation in which the number of outcomes is given by P(6, 3).
2) Open Ended. Describe an event that has a probability of 0 and an event that has a probability of 1.
3) Writing in Math. Use the information on page 684 to explain how you can count the maximum number of license plates a state can issue. Explain how to use the Fundamental Counting Principle to find the number of different license plates in a state such as Oklahoma, which has 3 letters followed by 3 numbers. Also explain how a state can increase the number of possible plates without increasing the length of the plate number.Page 684 is in the attachments.
4) Writing in Math. Use the information on page 710 to explain how permutations and combinations apply to softball. Explain how to find the number of 9-person lineups that are possible and how many ways there are to choose 9 players if 16 players show up for a game.Page 710 is in the attachments.