In going through this question, I marked E as the correct answer as K being in the quality committee would violate one of the rules.
However, B is the correct answer. Although B also cannot be true (as either F or H would have to fill in for G in a committee, lest the G <-|-> L rule be violated), I still don't know why E would be incorrect.
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The correct answer is as such because if F & H are only in one committee then G would have to be in two committees inevitably pairing it up L, since 1 officer must be in each committee