Considering these statements carefully, it can be understood by giving a logical approach to it. The statement actually claims that only gentlemen CAN BECOME a member of the club, but not that only gentlemen ARE members of the club. It further states that many club members are officers. They are officers; it does not necessarily mean they are gentlemen.
And lastly, it writes that "SOME of the officers have been invited for dinner." Hence, it would be wrong to say all the members belonging to the club have been called up or invited for dinner. Also, to accept the statement that all gentlemen belong to the club would be a fallacy.
All gentlemen do not belong to the club; the club is just for gentlemen. You cannot also say that only the gentlemen have been called upon to the dinner because this is due to the simple fact that not all the officers are gentlemen. Therefore, some of the officers are not recognized as gentlemen.