11.1 Fundamental Counting Principle

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Power point notes for Data Analysis class (Lesson 11.1)

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11.1 Fundamental Counting Principle

  1. 1. 11.1 Fundamental Counting Principles (p. 559)<br />
  2. 2. How many possible outfit combination can you form if you have 4 shirts and 3 pairs of jeans?<br />12 <br />
  3. 3. Fundamental Counting Principle<br /> The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur.<br />
  4. 4. Example 1<br />A restaurant offers 5 appetizers, 20 main courses and 10 desserts. In how many ways can you order a 3-course meal?<br />5 x 20 x 10<br /> = 1000<br />
  5. 5. Example 2<br />In how many ways can a car be ordered if there are 5 possible colors, if it is automatic or standard, if it is powered by gas, electric or hybrid, and if it comes with or without GPS?<br />5 x 2 x 3 x 2<br />Answer: 60 ways<br />
  6. 6. Example 3<br />You are taking a 10-item quiz with 5 possible choices. If you leave nothing blank, in how many ways can you answer the quiz?<br /> 9765625<br />
  7. 7. Example 6 from the text<br />Telephone numbers in the US begin with 3-digit area codes followed by 7-digit local telephone numbers. Area codes and local telephone numbers cannot begin with 0 or 1. How many different phone numbers are possible?<br />
  8. 8. Answer<br />6 400 000 000<br />Note: We still run out of possible phone numbers because we don’t use all the area codes.<br />
  9. 9. Assignments:<br />Class work: Checkpoints 1-6 p. 560-563<br />Homework: p. 564, #s 1-22<br />

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