Is there a way to retrieve the attachments count of a mail item (Without getting the ID's of the attachments) in Soap web service in the web exchange? I mean something in the line of the property hasAttachments..
I don't believe there's a single property that will contain this information (although I'd bet that the managed API would work something out for you, if you're using it - my guess is that you're not). I think the simplest way would be to do an AllProperties
(or specify Attachments if you want to be more efficient, depends how often the code runs), and see how many t:FileAttachment nodes are returned. You don't actually need to get the Ids.