3.5.1 The Pigeonhole Principle

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This video will introduce the Pigeonhole Principle and describe how it relates to logical statements. It will use real-life situations to explain the principle and its applications.

Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.10

Use the Pigeonhole Principle to solve counting problems.

UP:MA19.FM.10

Vocabulary

  • Pigeonhole principle

Knowledge

Students know:

  • How to construct counting models.

Skills

Students are able to:

  • Solve a combinatorial problem using the Pigeonhole principle.

Understanding

Students understand that:

  • If m>n and there are m pigeons (or any object) and n pigeonholes (or any position), there must be at least one pigeonhole with more than one pigeon.

Body

  1. Use the Pigeonhole Principle to solve counting problems.

CR Resource Type

Audio/Video

Resource Provider

MIT OpenCourseWare on YouTube

License Type

Attribution Non-Commercial Share Alike
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