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August 9, 2010

August 9, 2010. Warm-up/Activator Complete the Anticipation Guide. The Fundamental Counting Principle & Tree Diagrams . The Fundamental Counting Principle.

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August 9, 2010

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  1. August 9, 2010 Warm-up/Activator Complete the Anticipation Guide.

  2. The Fundamental Counting Principle & Tree Diagrams

  3. The Fundamental Counting Principle • If you have 2 events: 1 event can occur m ways and another event can occur n ways, then the number of ways that both can occur is m*n • Event 1 = 4 types of meats • Event 2 = 3 types of bread • How many different types of sandwiches can you make? • 4*3 = 12

  4. 3 or more events: • 3 events can occur m, n, & p ways, then the number of ways all three can occur is m*n*p • 4 meats • 3 cheeses • 3 breads • How many different sandwiches can you make? • 4*3*3 = 36 sandwiches

  5. At a restaurant at Six Flags, you have the choice of 8 different entrees, 2 different salads, 12 different drinks, & 6 different desserts. • How many different dinners (one choice of each) can you choose? • 8*2*12*6= • 1152 different dinners

  6. Fund. Counting Principal with repetition • Georgia license plates have 3 letters followed by 4 #’s. • How many different licenses plates are possible if digits and letters can be repeated? • There are 10 choices for digits and 26 choices for letters. • 26*26*26*10*10*10*10= • 175,760,000 different plates

  7. Phone numbers • How many different 7 digit phone numbers are possible if the 1st digit cannot be a 0 or 1? • 8*10*10*10*10*10*10= • 8,000,000 different numbers

  8. Tree diagram Flip a coin, then roll a die, list all alternatives

  9. One and Done How many different trucks can you get from three models, four colors and three different engines?

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