11.1 Fundamental Counting Principle
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There are 4 shirts and 3 pairs of jeans, so using the fundamental counting principle, the number of possible outfit combinations is 4 * 3 = 12. The fundamental counting principle states that to calculate the number of possible outcomes of a series of events, you multiply the number of possible outcomes of each individual event. Examples are given of using this principle to calculate the number of possible 3-course meal combinations from various options, ways to customize a car order, and possible answers to a 10-item multiple choice quiz. The document also calculates the number of possible 10-digit telephone numbers in the US.
11.1 Fundamental Counting Principle
- 1. 11.1 Fundamental Counting Principles (p. 559)
- 2. How many possible outfit combination can you form if you have 4 shirts and 3 pairs of jeans?12
- 3. Fundamental Counting Principle 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.
- 4. Example 1A restaurant offers 5 appetizers, 20 main courses and 10 desserts. In how many ways can you order a 3-course meal?5 x 20 x 10 = 1000
- 5. Example 2In 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?5 x 2 x 3 x 2Answer: 60 ways
- 6. Example 3You are taking a 10-item quiz with 5 possible choices. If you leave nothing blank, in how many ways can you answer the quiz? 9765625
- 7. Example 6 from the textTelephone 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?
- 8. Answer6 400 000 000Note: We still run out of possible phone numbers because we don’t use all the area codes.
- 9. Assignments:Class work: Checkpoints 1-6 p. 560-563Homework: p. 564, #s 1-22