2010 Fermat Problem 14

Four friends went fishing one day and caught a total of 11 fish. Each person caught at least one fish.

All of the following statements *could* be true.

Which one of the statements *must* be true?

\textbf{(A)} At least one person caught exactly one fish. \textbf{(B)} At least one person caught exactly three fish. \textbf{(C)} At least one person caught more than three fish. \textbf{(D)} At least one person caught fewer than three fish. \textbf{(E)} At least two people each caught more than one fish.

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.