Keith Lee's answer to Kimberly (Hui Jing)'s Junior College 2 H2 Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Keith Lee
Keith Lee's answer
258 answers (Tutor Details)
1st
To answer your questions, multiply by 6 because of 6 distinguishable seats, so all 6 orientations are different.

Anyway I also provided my answer which may or may not be a different approach to what you know.