Method for measuring co-occurence

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I have a dataset that lists a large number of binary variables for each member of the populations. It basically looks like this:

Patient_Number    Measure_1    Measure_2    Measure_3    ...
0001               Yes           No           Yes
0002               No            No           Yes        ...
0003               Yes           Yes          Yes        ...

I want to assess which measures co-occur and to what extent. I am also interested to know if there are any combinations of measures that tend not to co-occur.

I am familiar with the R programming language but I do not know what an appropriate measure for this would be. My dataset is composed of ~400 patients and ~500 Measures but if I need to I can trim those down to subsets as small as 30 patients and 10 Measures.