A magician asked a spectator to think of a three-digit number ABC and then to tell him the sum of numbers ACB, BAC, BCA, CAB, and CBA. He claims that when he knows this sum he can determine the original number. Is that so?
Since we are adding every permutation of the digits there is no way the magician can know which was the original number even if it were possible to determine the values of A, B and C.
Posted by Jer
on 2013-02-23 13:51:54