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April 16, 2010 Math 132: Foundations of Mathematics
8.6 Homework SolutionsAnnual % Rate: 7.0%Amount of Mortgage: $200,000# of Monthly Payments: 240
Monthly payment: $1550Term: Years 20, Months 0
Payment Number Interest Payment Principal Payment Balance of Loan
1 $1166.67 $383.33 $199,616.672 $1164.43 $385.57 $199,231.103 $1162.18 $387.82 $198,843.284 $1159.92 $390.08 $198,453.20
April 16, 2010 Math 132: Foundations of Mathematics
Math 132:Math 132:Foundations of MathematicsFoundations of Mathematics
Amy LewisMath Specialist
IU1 Center for STEM Education
April 16, 2010 Math 132: Foundations of Mathematics
11.1 The Fundamental Counting Principle
• Use the Fundamental Counting Principal to determine the number of possible outcomes in a given situation.
April 16, 2010 Math 132: Foundations of Mathematics
The Fundamental Counting Principle
• It’s Friday, and you’re tired. You’re out of laundry, but you’ve go to get dressed for work nonetheless.– You have 2 pairs of pants to choose from.– You have 3 different shirts to choose from.
• How many different outfits could you wear to work today?
• Show how you know!
April 16, 2010 Math 132: Foundations of Mathematics
The Fundamental Counting Principle (Part 1)
• If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is M·N.
• A restaurant offers 10 appetizers and 15 main courses. In how many ways can you order a two-course meal?
April 16, 2010 Math 132: Foundations of Mathematics
The Fundamental Counting Principle (Part 1)
• What if the number of appetizers and main courses each go up by 2?
• What if there are 6 dessert options? In how many ways can you order a three-course meal?
April 16, 2010 Math 132: Foundations of Mathematics
The Fundamental Counting Principle (Part 2)
• 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.
• For example, if you own 20 pairs of pants, 30 shirts, and 12 pairs of shoes, you have
20·30·12 = 7200choices for your wardrobe.
April 16, 2010 Math 132: Foundations of Mathematics
Multiple Choice Test• You take a multiple choice test that has 15
questions. Each question has 3 answer choices with 1 correct answer. In how many ways can you answer the questions?
14,348,907!• How many perfect scores are there on the test? • What’s the probability of getting a perfect score by
just guessing?
April 16, 2010 Math 132: Foundations of Mathematics
Zip Codes
• How many possible zip codes exist?
• How many more were created when they switched to a 9-digit zip code?
April 16, 2010 Math 132: Foundations of Mathematics
Radio Stations
• How many different four-letter radio station call letters can be formed if the first letter must be a W or K?
April 16, 2010 Math 132: Foundations of Mathematics
Telephone Numbers
• How many 10-digit phone numbers exist?
April 16, 2010 Math 132: Foundations of Mathematics
Homework
• Finish your project!– Teachers Notes: How are you going to
facilitate this lesson? What questions are you going to ask students? What instructional strategies are you going to use?
Next Session: Monday, April 19
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