The Fundamental Counting Principle
Explore the Fundamental Counting Principle with practical problems on arrangements and combinations. Learn how to calculate potential outcomes in various scenarios such as organizing kids for playtime, creating PIN codes, arranging trophies, and choosing sports teams. This resource includes sample problems that demonstrate the application of counting principles in real-life situations, providing a comprehensive approach to probability and basic combinatorics. Ideal for students and educators looking to reinforce counting strategies.
The Fundamental Counting Principle
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Presentation Transcript
The Fundamental Counting Principle
The Counting Principle In how many ways can five kids line up for play time?
Sample Problems 1. How many 4 digit PIN codes are possible using only numbers? 2. How many 4 digit PIN codes are possible using numbers and letters? 3. How many 6 digit license plates are possible if the first three digits must be letters and the last three are numbers, but none of the numbers can repeat?
1. In how many ways can you arrange six trophies on a shelf? 2. Seven boats enter a race. How many arrangements of first, second, and third are possible?
3. There are ten players on a basketball team. In how many ways can a starting lineup of five players be chosen? 4. Three positions (President, Vice-president, and Secretary) must be filled out of 15 applicants. How many ways are possible?
How many different ways can you schedule your classes for next year if 1st period must be chorus?
Homework Worksheet: The Counting Principle
