The least restrictive for the caller is Fn (you can call it whenever), then FnMut (you can call it only if you have exclusive access to it, as many times as you want), then FnOnce (you can call it only if you have exclusive owned access, and calling it once destroys it).

The least restrictive for the function itself is the opposite order: FnOnce (it can do anything to its environment, including possibly consuming things without putting them back into a consistent state), followed by FnMut (it has exclusive access to its environment, and so is allowed to mutate it, but not destroy it), followed by Fn (it has only shared access to its environment and therefore is not allowed to mutate it).

Since these orders are inverses of each other, functions that are easier to write are harder to call and vice versa. That’s why they implement the trait with the minimum amount of power possible, so that they can be called in more places.