2012 Cayley Problem 9

A class of 30 students was asked what they did on their winter holiday.

20 students said that they went skating.

9 students said that they went skiing.

Exactly 5 students said that they went skating and went skiing.

How many students did not go skating and did not go skiing?

\textbf{(A)}\ 1\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ 11\quad \textbf{(D)}\ 19\quad \textbf{(E)}\ 4

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 Cayley contests here.