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I hope someone can guide me in the right direction.

From the 5th line, I understand if a society doesn't have any laws, then it doesn't have any crimes. The contrapositive would be if a society has crimes, then it has laws. I chose answer (D) because the author talks about "many crimes" in line one; however, (E) is the credited response.

I would like to thank you in advance for any help you can provide.

Your reading of the formal logic is correct: if a society has crime, then it has law. It does not follow that a society that has many crimes has many laws: a society may have many crimes but only one law.