Algebra 2 - Applications of probability, algebra homework help

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algrnpue

Mathematics

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Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it. Please write all answers and show all work in a Microsoft Word document.

  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.
  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.

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6!

1. The number of possible outcomes 𝑃(6,3) = (6−3)! = 6 ∙ 5 ∙ 4 = 120 appears when one needs to
choose 3 elements from a set of 6 elements and when the order is significant. For example, if 6
leaders of a firm should choose one director, one manager and one supervisor among themselves,
the number of possibilities is 𝑃(6,3)....


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