NSW Y11 Maths - Extension 1 Permutations and Combinations Pigeonhole Principle

Resources for Pigeonhole Principle

• Questions

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• Video Tutorials

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• HSC Questions

  2

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Pigeonhole Principle Theory

NSW Syllabus Reference

NSW Syllabus Reference: ME-A1.1: Permutations and combinations. This will require student to 

• list and count the number of ways an event can occur
• use the fundamental counting principle (also known as the multiplication principle)
• use factorial notation to describe and determine the number of ways 𝑛 different items can be arranged in a line or a circle
• solve simple problems and prove results using the pigeonhole principle (ACMSM006)
• understand and use permutations to solve problems (ACMSM001)
• solve problems involving permutations and restrictions with or without repeated objects (ACMSM004)
• understand and use combinations to solve problems (ACMSM007)
• solve practical problems involving permutations and combinations, including those involving simple probability situations

Ref: https://educationstandards.nsw.edu.au/