Take a look at this blog article More adventures in overlay: counting overlapping polygons with spaghetti and meatballs. The first thing you'll need to do is to combine your 11 layers into one feature class. Use the Merge tool for this. Then you can follow the pattern outlined in the blog post:Create (spaghetti) polygons from the merged buffers above using the Feature to Polygon toolCreate (meatball) centroid points using the Feature to Point toolUse Spatial Join to count the number of overlapping polygons
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