Among a sample of diverse coins from an unfamiliar country, each face of any coin portrays one of four things: a judge' s head, an explorer' s head, a building, or a tree. By examining the coins, a collector determines that none of them have heads on both sides and that all coins in the sample with a judge' s head on one side have a tree on the other. If the statements above are true, which one of the following must be true of the coins in the sample? ["All those with an explorer's head on one side have a building on the other.", "None of those with a tree on one side have an explorer's head on the other.", "All those with a tree on one side have a judge's head on the other.", "None of those with a building on one side have a judge's head on the other."]