Collection
Problem Solving Approach
This practice problem introduces combinations as a method for counting selections when order does not matter. Students learn to distinguish between selecting objects and arranging them.
Practice Problem
A mathematics club has 8 members.
How many different groups of 3 students can be selected to represent the club?
Worked Solution
Since the order of selection does not matter, use combinations:
Problem-Solving Note: The important distinction is that selecting students does not involve arranging them in a particular order.
AMC Source
AI Generated Content for Simulation
Key Concepts / Formulas
Combinations; factorials; counting
Suggested Learning Level
Grades 9–10; introductory combinatorics
Keywords
Combinatorics, counting, combinations, factorials
Original Source Reference
Simulation
Student Contributor
Sim Simulator Otherica
Math Topic
Other
Problem-Solving Method
Logical Reasoning
Resource Type
Worked Example
AMC Level
AMC 10
Date Added