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Permutations

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Chapter 26.5

Permutations


What You'll Learn

Distinguish between permutations and combinations based on whether order matters
Apply the permutation formula nPr to calculate arrangements from a set
Recognize when position or arrangement indicates that order is significant
Calculate the number of ways to arrange a subset of items from a larger set
Use calculator functions to evaluate permutation expressions efficiently

What You'll Practice

1

Selecting and arranging students for different leadership positions

2

Arranging books on a shelf when order matters

3

Determining when to use permutation versus combination in word problems

4

Calculating nPr values using the permutation formula

Why This Matters

Permutations are essential for solving real-world problems involving passwords, seating arrangements, scheduling, and any situation where order matters. This foundational counting principle appears in probability, statistics, computer science, and is crucial for standardized tests and higher-level math courses.

This Unit Includes

2 Video lessons
Practice exercises
Learning resources

Skills

Permutations
Counting Principles
Combinatorics
Order Matters
nPr Formula
Probability
Problem Solving
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