Question:
Exercise in logical thinking
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
(1) Each of A, B, C was in the shop on the day of the robbery, and no one else was there on that day.
(2) If A was guilty, then he had exactly one accomplice.
(3) If B is innocent, then so is C.
(4) If exactly two are guilty, then A is one of them.
(5) If C is innocent, then so is B.
Was there a robbery in the first place?