A is wrong. If only Olson is at the restaurant then we’re left with V, N, P and T.
We need to put two people at the soccer game, and two are left for the movies. V and N will go together, since they’re either both at the movies or not at the movies. That leaves P and T, but they can’t go together.
B is CORRECT. You could have just P in the restaurant. This diagram proves it:
C is wrong. If only T is at the restaurant then we’re left with V, N, P and O.
We need to put two people at the soccer game, and two are left for the movies. V and N will go together, since they’re either both at the movies or not at the movies. That leaves P and O, but they can’t go together.
D is wrong. If only Valdez is at the restaurant then you have to put N at soccer. If you put N at the movies, then V would have to be there too.
That leaves P, T and O. P can’t go with either of them, and P can’t go with N, either. We can’t put P alone at the movies, because then three people would play soccer.
E is wrong. If T and V are at the restaurant then you need to put N in soccer, not the movies (otherwise V would go to the movies).
We need to put exactly one more person at soccer. We only have O and P left. Neither can go with N.
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