This question says that F and P are used together in a rug. That leaves W, T, O and Y left to place.
The first question is whether the color distribution is 3-1-1 or 2-2-1. (F and P would be together in one of the multi-color rugs)
2-2-1 is pretty hard to do. Of the four remaining variables, only TY could go together. So we could have FP, TY, but….neither W nor O can go alone (rules 1 and 2).
So a 2-2-1 distribution is impossible on this question. Instead, we need a 3-1-1 distribution.
So who can go with F and P? That depends on whether O is in. If O is in, O must go with FP:
That means W isn’t in, since W must be in a group of three. So T and Y form the solid rugs:
What if O isn’t in? Then all other rugs must be in, so W is included and is in the group of three with FP:
T and Y form the solid rugs, since they’re the only ones left.
B is CORRECT. It’s possible in the first diagram. None of the other answers are possible in either diagram.
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