Model count with type

var oLV = new Object;
var sMsg = "";

//Active filter contains info about allowed model types. 
var oMetaModel = ArisData.ActiveFilter();

//Database
var oDB = ArisData.getActiveDatabase();

//List of models type nums
oLV.aTypeNums = oMetaModel.ModelTypes(Constants.ARISVIEW_ALL);

//For each type find list of models
for (var i=0; i<oLV.aTypeNums.length; i++)
{
   //List of models of i-th type
   oLV.aModels = oDB.Find(Constants.CID_MODEL, oLV.aTypeNums[i]);
   //Name of i-th type
   sMsg+= oMetaModel.ModelTypeName(oLV.aTypeNums[i]);
   sMsg+=": "+oLV.aModels.length+"\n";
   delete oLV.aModels;
}
delete oLV.aTypeNums;

Dialogs.MsgBox(sMsg);

Hope, this helps. It would better to improve output part, so as to write result to excel file. Because the result message could be very large in case of many model types used.