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(The complete setup for this game can be found here: lsat/viewtopic.php?t=7717)
The correct answer choice is (C)
Answer choices (A), (B), and (D) have each been shown possible during the discussion of the rules. Answer choice (E) is possible under either template.
Answer choice (C), the correct answer, can be determined impossible from examining the first two rules. In those rules, L must appear earlier than both H and J, and thus L can never appear fifth.