I need help with this problem. With the remote learning I am having a hard time understanding the problem. Make sure to explain the reasoning and show all work. Thank you.

The 14 moons of Neptune work at Neptune's Intergalactic Inc. Each of them works at their respective desk. Triton, one of Neptune's worker moons, wants to prank Neptune, the boss of the company. Knowing Neptune hates disorder, Triton con- vinces everyone in the office to switch desks when Neptune is in the boss' office. The prank is only successful if there is exactly one moon per desk after the jumble and the new arrangement is not identical to the previous one. a. If each moon chooses a desk uniformly and independently (potentially choosing their own desk), provide an expression for the probability the prank is successful (that is, each desk is assigned to exactly one moon and at least one moon has moved desks). b. Now, consider a case in which all desks are arranged in a circle, and the moons only have time to move to a desk directly to the left or right of their current desk. What is the probability the prank is successful? (Every moon moves desks this time.) c. Neptune is taking a little longer than usual to come out of its office-the moons will move to any desk exactly 2 to the right or left of their original position. In this case, what is the probability that the prank is successful