Practice variation 1 of 3
Pigeonhole principle — Smaller election
Your question
There are votes and candidates. What is the smallest number of votes a unique winner could have received?
This practice question was inspired by Question 10 in the 2021 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?