In a university, graduates majoring in mathematics, physics, chemistry, management, secretarial science and law need to be employed. At present, Fengyun, Jardine and Hongyu come to the school for recruitment. It is known that each company only recruits graduates from the above two or three majors, and the following conditions need to be met: (1) companies that recruit chemistry majors also recruit mathematics majors; (2) Jardines recruit majors. Fengyun company also recruits; (3) only one company recruits secretarial majors, and the company does not recruit physics majors. (4) if Jardine recruits a management major, then it also recruits a secretarial major; (5) if Hongyu does not recruit a secretarial major, then Jardine recruits a secretarial major.
If all three companies recruit several graduates from three majors, which of the following can be derived?
Fengyun Company recruits maths major