The director of IBA is planning to appoint research committees, each consisting of exactly three members. Eligible for appointment are three teachers from Finance- F,G, and H and three teachers from operations- K,L and M. Any given committee is subjected  the following restrictions on appointments: *At least member must be from Finance, and at least one member: must be from operations *If F is appointed, G cannot be appointed. *Neither H nor L can be appointed unless the other is appointed also. *If K is appointed. M must also be appointed. If the restrictions on appointments apply also to four member committee appointed fromthe same group of executives, which of the following will be true?