Final Review Question 19 and 20

Why can't you rotate the table to get the same arrangement if you do \(A_1, A_2, B_1, B_2, C_1, C_2\) and \(C_2, A_1, A_2, B_1, B_2, C_1\) when you are counting clockwise to get an answer of 48?

@spaceblastxy1428 Thanks for asking! Since this is a exam question, in the interest of keeping exam solutions private, we'll answer by email instead of here on the forum. Thanks for your understanding!

@spaceblastxy1428 Hi there, since this doesn't give away the solution, I'll answer here. The question was written with the intention of not having rotational symmetry. Pretend the chairs are numbered from \(1\) to \(6,\) so that if you rotate a seating arrangement, then it's considered a new arrangement. We can clarify this in the question statement. Thanks for asking!