Possibly an issue of sets and subsets

May 2019
I'm not sure if this is the right place for this question, but it seems like it might be.

So, I have a set with 11 elements, and I need to know how many subsets of 4 are possible, provided that no sets share more than 2 elements.

Thank you for your time, and if this is the wrong place for such a question please help me find the right one.