Six people A, B, C, D, E and F live on a six-story building each on one floor. The following statements describe where they stay.
(i) B lives on floor 6.
(ii) A is equally far from C and E.
(iii) F is an engineer.
(iv) D is two floors above F.
(v) C does not live next to an engineer.
If C does not live next to an engineer is invalid, how many types of arrangements are possible?
On the basis of given information, the arrangement is as following:
If we ignore the last statement, then two types of arrangements are possible.