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Counting Principle

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You can use either chicken or roast beef. For bread you choices are pita, wheat, or pumpernickel. ... How many different sandwiches can you make? Chicken on ... – PowerPoint PPT presentation

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Title: Counting Principle


1
Counting Principle
  • Chapter 10 Lesson 4

2
  • Suppose that you and a friend are making
    sandwiches for lunch. You can use either chicken
    or roast beef. For bread you choices are pita,
    wheat, or pumpernickel. How many different
    sandwiches can you make?
  • Chicken on Pita, Wheat, or Pumpernickel
  • Beef on Pita, Wheat, or Pumpernickel
  • There are 6 different sandwiches

3
Counting Principal
  • Find the number of possible outcomes if an event
    by multiplying the number of outcomes at each
    stage of event.

4
Example 1
  • Benita needs a computer system for her home
    office. She must choose which computer, monitor,
    and printer to buy. The table shows
    possibilities from which she can choose. From
    how many different configurations can she choose?
  • Brands of computers Plum, Ideal, Sunflower, AA
    Tech
  • Size of monitor 14. 17, 21
  • Type of printer inkjet, laser
  • Computer x Monitor x Printer number of
    configurations possible
  • 4 x 3 x 2
    24 possible configurations

5
Example 2
  • In a game, a player tosses a number cube and
    chooses one if 26 alphabet cards. Using the
    counting principle, find P (Prime number, T or
    Q)?
  • First find the number of possible outcomes.
  • 6 x 26 156
  • Then find the number of favorable outcomes.
  • Prime (3) x Letters (2) 6
  • P (Prime number, T or Q) 6/156 1/26
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