Practice variation 1 of 3
Pigeonhole principle — Different numbers
Your question
12 teams, more than 2 over-age players triggers a penalty, 25 over-age players total. Must a team be penalised?
This practice question was inspired by Question 12(b) in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?