There are six questions below，

A historian is attempting to reconstruct the locations of five volcanic islands—Kappa, Lambda, Mu, Pi, and Omega—that once existed off the coast of Penelopia. On the basis of historical documents, the historian has established that the five islands were arranged in a straight line running north to south. The historian also discovered the following:

Lambda was located immediately north of Pi. Omega and kappa were immediately adjacent to each other. Mu was located somewhere north of Lambda.

The five islands could have been arranged in which of the following north-to-south orderings?

If Mu was located immediately north of Omega, which of the following must be true?

If Omega was located somewhere north of Mu, which of the following must be true?

Which of the following is a complete and accurate list of the islands any one of which could be the island that was northernmost?

If Mu is discovered to have been the northernmost of the islands, there remain how many possible arrange- ments any one of which could have been the histori- cally accurate arrangement of the island?

If Mu was adjacent of Kappa, which of the following must be true?