I would like to count the number of subsequences in list. Say I have data given by:

data = {1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1};

I would like to count the number times I see the following subsequences: {1,1}, {1,2}, {2,1}, {2,2}. Is there a quick way to do so? I've tried a few approaches using Count and Cases with no luck. Any advice would be greatly appreciated.

Thanks!