hard · LSAT Logical Reasoning

A committee bylaw states that neither the treasurer nor the secretary may chair a subcommittee. Each subcommittee must have exactly two co-chairs, drawn from a pool consisting of the treasurer, the secretary, the vice-president, the historian, and the parliamentarian.

If the bylaw is followed, which one of the following must be true?

  1. Two of the vice-president, the historian, and the parliamentarian serve as co-chairs.
  2. The historian, rather than the vice-president or the parliamentarian, is a co-chair.
  3. Exactly one of the historian and the parliamentarian, but not both, co-chairs the subcommittee.
  4. The treasurer, being barred from chairing, instead serves as the subcommittee's recording clerk.
  5. All three of the vice-president, the historian, and the parliamentarian co-chair together.

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