Six persons F1, F2, F3, F4, F5 and F6, are sitting in a straight line facing towards north. Among them one is a doctor, engineer, lawyer, manager, cricketer and boxer (not necessarily in the same order). Only one person sits between F2 and cricketer. F4 sits at the third place to the right of F3. Only two persons sit between boxer and lawyer. Only one person sits between cricketer and doctor. F4 is an engineer. F6 is a manager. Boxer sits at right end. F5 is immediate neighbor of F4. Which of the following is correct.

1
F3 sits at the second place to the right of F5
2
Doctor sits at the third place to the left of engineer
3
Lawyer sits at the second place to the right of F4
4
Only three person sits between manager and cricketer

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