So this is my query to count items in given folder:
And it gives me count of all elements but how I can count only folders inside
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You can examine the returned XML to find related querries for your request...
There is no nice way to just pull the folder count, but you can use the /folders to retrieve all folders below the current node.
See this line from the returned XML for your query:
<link rel="http://schemas.microsoft.com/ado/2007/08/dataservices/related/Folders" type="application/atom+xml;type=feed" title="Folders" href="Web/GetFolderByServerRelativePath(decodedurl='/teams/TeamsiteTestHeiko/Shared%20Documents')/Folders" /> <title />
Calling that on my root DocLib with 2 folders returns the correct answer of 3 folders since you will also be getting the Forms folder in the root level.
Hope that helps