Practice variation 3 of 3
Combinatorics — Linear vs circular teachers
Your question
If the distinct teachers were instead arranged in a line (not a circle), their arrangements would number
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?