Can someone tell me how 8x3x2/ C(8,4) is incorrect? My logic was to select 4 points such that they form a square and that can be done in 8x3x2 ways whereas any 4 points out of 8 can be chosen in C(8,4) ways. Where am I going wrong?

How?

My thought process was:

The first can be any of the 8 points, so 8 options. After selecting this, say A, we can only select one of the three - point opposite to A, or the first non-adjacent points to the left or the right of A. So 3 options. And so on.

Suppose you pick a point opposite to A. Share an example of how you get a square in the end.

Ah I realize my mistake. Got it. Thank you!