If you have four cards with the numbers 1,2,3 and 4 how many numbers can you make that are bigger than 2200?

Sorry about that. You didn't mention it in the question. heureka's answer is correct.

If you have four cards with the numbers 1,2,3 and 4
how many numbers can you make that are bigger than 2200?

$\begin{array}{|rcll|} \hline 1234 & \\ 1243 & \\ 1324& \\ 1342& \\ 1423& \\ 1432& \\ \hline \end{array} \begin{array}{|rcll|} \hline 2134 & \\ 2143 & \\ 2314& \checkmark \\ 2341& \checkmark \\ 2413& \checkmark \\ 2431& \checkmark \\ \hline \end{array} \begin{array}{|rcll|} \hline 3124& \checkmark \\ 3142& \checkmark \\ 3214 & \checkmark \\ 3241 & \checkmark \\ 3412& \checkmark \\ 3421& \checkmark \\ \hline \end{array} \begin{array}{|rcll|} \hline 4123& \checkmark \\ 4132& \checkmark \\ 4213 & \checkmark \\ 4231 & \checkmark \\ 4312& \checkmark \\ 4321& \checkmark \\ \hline \end{array}$

You can make 16 numbers that are bigger than 2200

I think so: 4! - 3! - 2! =24 - 6 - 2 =16