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Module 11 Act. 1

Module 11 Act. 1. After completing the exploration of Activity 1, Module 11 SWABT use the fundamental counting principle apply their knowledge of the fundamental counting principle to determine simple probabilities solve discussion, warm-up and assignment problems on pages 307-310 with

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Module 11 Act. 1

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  1. Module 11 Act. 1 After completing the exploration of Activity 1, Module 11 SWABT use the fundamental counting principle apply their knowledge of the fundamental counting principle to determine simple probabilities solve discussion, warm-up and assignment problems on pages 307-310 with 3. at least 85% accuracy

  2. Fundamental counting principle Fundamental Counting Principle = Fancy way of describing how one would determine the number of ways a sequence of events can take place.

  3. You are at your school cafeteria that allows you to choose a lunch meal from a set menu. You have two choices for the Main course (a hamburger or a pizza), Two choices of a drink (orange juice, apple juice) and Three choices of dessert (pie, ice cream, jello). How many different meal combos can you select?_________ Answer: 12 meals Method one: Tree diagram Lunch Hamburger Pizza Apple Orange Apple Orange PieIcecreamJello PieIcecreamJello PieIcecreamJello PieIcecreamJello

  4. Method two: Multiply number of choices 2 x 2 x 3 = 12 meals Ex 2: No repetition During the Olympic 400m sprint, there are 6 runners. How many possible ways are there to award first, second, and third places? 3rd 1st 2nd 6 5 4 3 places ____ x ____ x ____ = 120 different ways

  5. Ex 3:With repetition License Plates for cars are labeled with 3 letters followed by 3 digits. (In this case, digits refer to digits 0 - 9. If a question asks for numbers, its 1 - 9 because 0 isn't really a number) How many possible plates are there? You can use the same number more than once. 10 ___ x ___ x ___ x ___ x ___ x ___ = 26 26 26 10 10 17,576,000 plates Ex 4:Account numbers for Century Oil Company consist of five digits. If the first digit cannot be a 0 or 1, how many account numbers are possible? ___ x ___ x ___ x ___ x ___ = 8 10 10 10 10 80,000 different account #’s

  6. We are going to collect data from cars in the student parking lot. License place Vehicle color 1234.....50

  7. Factorials - Quote Space and time are intimately intertwined and indissolubly connected with each other. Sir William Rowan Hamilton

  8. Factorials 5! Factorial 5 • 4 • 3 • 2 • 1 = 7!= 7 • 6 • 5 • 4 • 3 • 2 •1 = 5040 42 56

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