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  • $\begingroup$ Do you need to differentiate the following possibilities as well: the two coins together are lighter than two normal coins, and the two coins together are heavier than two normal coins. $\endgroup$
    – Trenin
    Commented Feb 16, 2023 at 15:22
  • $\begingroup$ I think there are even more possibilities. Both lighter and the same, Both lighter and different, Both heavier and the same, both heavier and different, the average is heavier, the average is lighter, the average is genuine. So 7 total. $\endgroup$
    – Trenin
    Commented Feb 16, 2023 at 15:57
  • $\begingroup$ I already took them all into account: "both could be lighter than normal, both could be heavier, or when only one is lighter, the sum could be heavier/lighter/equal than/to two normal coins." $\endgroup$
    – Nautilus
    Commented Feb 16, 2023 at 16:03
  • 1
    $\begingroup$ Could the steps after ++++ be described in more detail, please? The omitted following steps might be not that obvious/self-evident to some readers. :D $\endgroup$
    – Pumbaa
    Commented Feb 19, 2023 at 9:02
  • 1
    $\begingroup$ ++++ means the fakes average out to a normal coin, and both are in the same split group of 3. It should make $3!*8=48$, not $96$. $\endgroup$
    – Nautilus
    Commented Feb 22, 2023 at 8:48