578 - Logical Reasoning

Steve and JoAnne are both members of a certain club, though they are not speaking to each other and refuse to work with each other. Cecily, the club president, is appointing members to the fundraising committee, but she has resolved that she will not appoint anyone without his or her explicit consent. Steve tells Cecily, "I will not consent to appointment on that committee unless I know whether JoAnne is to be a member of it." And JoAnne says, "I will not consent to be a member of that committee unless I know whether Steve will be appointed to it."
If all three of these people stick by these resolutions, then:

1. Neither of them can be appointed to the committee.
2. The situation described in the scenario cannot arise, because it is inherently incoherent.
3. They must either both be appointed or both be left out.
4. The committee may finally have one of them, both of them, or neither of them as members.
5. Either one of them can be appointed, but not both.