Practice variation 2 of 3
Combinatorics — Gap distribution factor
Your question
Three gaps must be filled with people. The number of ways to choose which gap gets person is
This practice question was inspired by Question 10 in the 2023 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?