A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications:
Each bridge directly connects exactly two islands with each other, and no two bridges intersect.
No more than one bridge directly connects any two islands.
No island has more than three bridges that directly connect it with other islands.
J, K, and L are each directly connected by bridge with one or both of M and O.
J is directly connected by bridge with exactly two islands.
K is directly connected by bridge with exactly one island.
A bridge directly connects J with O, and a bridge directly connects M with O.
If a bridge directly connects K with O, then which one of the following could be true?