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Menu:   Measure > Parameters  
Script:   SelectParam ("Count")  

Select this parameter to keep the count of objects measured per class. For the given object this parameter defines the ordinal number of the object in its class and could be considered as object's ID. Note that in the automatic measurements the objects are measured from top to bottom, left to right, and the count is incremented accordingly.

In the Object Count
tool the Count is the only measured parameter, and it defines the total number of objects in each class.