I had no real method on this question. I simply drew the setup and looked at the first answer. It was correct.
This happens more often than you’d think. The LSAT wants you to panic. If you don’t see any deductions, sometimes there are none, and it’s time to move to the answers.
But set things up well first. Here’s what I drew:
I drew all the remaining variables on top. This lets me quickly see how they interact.
A is CORRECT. It can’t be true that there’s only one solid color rug. If there’s only one solid color rug, then the distribution is 2-2-1.
If the distribution is 2-1-1, then W is out (rule 1). That leave O, P, F and T. OP have to go together (rule 2).
That leaves F and T. And rule 3 says they can’t go together in the remaining rug.
There’s no need to disprove the other answers. Nonetheless, this diagram disproves B, C and E:
This diagram disproves D:
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