How many persons are there between A and F?

1. Z lives on the floor which is a prime number but not on the 3rd floor. 2. A lives on the topmost floor. 3. M lives immediately above the floor on which Y lives but not on an even numbered floor. 4. There is one person living between the floors on which M and Z lives In CASE1 M live in even floor so CASE1 is cancelled out. 5. The person lives between A and Y is not more than three and not less than two. In CASE2A and CASE2B the person lives between A and Y is more than three and less than two. So, CASE2A and CASE2B is cancelled out. 6. F lives immediately above the floor on which B lives. 7. N lives immediately below the floor on which B lives