3. Questions 1-6

Eight camp counselors¹-Fran, George, Henry, Joan, Kathy, Lewis, Nathan, and Olga-must each be assigned to supervise exactly one of three activities-swimming, tennis, and volleyball. The assignment of counselors must conform to the following conditions:
Each activity is supervised by at least two, but not more than three, of the eight counselors.
Henry supervises swimming.
Neither Kathy nor Olga supervises tennis.
Neither Kathy nor Nathan supervises the same activity as Joan.
If George supervises swimming, both Nathan and Olga supervise volleyball.

(1). Which one of the following is an acceptable assignment of the counselors to the activities?
(A) Swimming: Fran, George, Henry; Tennis: Joan, Lewis; Volleyball: Kathy, Nathan, Olga
(B) Swimming: George, Henry, Olga; Tennis: Fran, Joan, Lewis; Volleyball: Kathy, Nathan
(C) Swimming: Henry; Tennis: Fran, George, Joan, Lewis; Volleyball: Kathy, Nathan, Olga
(D) Swimming: Henry, Joan, Kathy; Tennis: George, Nathan; Volleyball: Fran, Lewis, Olga
(E) Swimming: Henry, Nathan; Tennis: Fran, Kathy, Lewis; Volleyball: George, Joan, Olga

(2). Which one of the following is a pair of counselors who could be two of three counselors assigned to supervise swimming?
(A) George and Nathan
(B) George and Olga
(C) Joan and Kathy
(D) Joan and Nathan
(E) Joan and Olga

(3). Which one of the following is a pair of counselors who could together be assigned to supervise tennis?
(A) Fran and Kathy
(B) George and Nathan
(C) Henry and Lewis
(D) Joan and Nathan
(E) Joan and Olga

(4). If George and Kathy are two of three counselors assigned to supervise swimming, which one of the following could be true of the assignment?

(A) Fran supervises swimming.
(B) Henry supervises tennis.
(C) Joan supervises volleyball.
(D) Lewis supervises volleyball.
(E) Nathan supervises tennis.

(5). If Fran and Lewis are two of the three counselors assigned to supervise swimming, which one of the following must be true of the assignment?
(A) George supervises volleyball.
(B) Henry supervises volleyball.
(C) Joan supervises tennis.
(D) Kathy supervises swimming.
(E) Nathan supervises tennis.

(6). If Joan is assigned to supervise the same activity as Olga, which one of the following CANNOT be true of assignment?
(A) Fran supervises swimming.
(B) George supervises swimming.
(C) Kathy supervises volleyball.
(D) Lewis supervises volleyball.
(E) Nathan supervises tennis.

KEYS: AEBDCB