Peter, John, and James are discussing how to share three apples and three oranges. Which of the following statements regarding Pareto's efficient allocations is correct?

• Assuming that Peter likes both apples and oranges, there is no possible Pareto improvement to an allocation in which he has all the apples and oranges.

• It is always Pareto efficient for Peter, John, and James to have one apple and one orange each.

• Assuming that at least one of them likes both apples and oranges, a Pareto efficient allocation may not exist.

• There cannot be more than one Pareto efficient allocation