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Four girls—L, M, N, and O—and four boys—V, W, X, and Y—are the eight adults to be seated at a rectangular bench. Three of the adults are to sit on one side of the bench, three are to sit on the other side of the bench, one is to sit at the head of the bench, and one is to sit at the foot of the bench. The following restrictions on seating arrangements must be observed: Adults of the same sex cannot sit next to each other on the same side of the bench. The adult seated at the foot of the bench cannot be the same sex as the adult seated at the head of the bench. X cannot be seated on the same side of the bench as N. Y cannot be seated on the same side of the bench as O.
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