Hi,
Max nic count is provided for the VM's in this azure documentation.
Above document has the detail's for Dv2 and Dsv2 series under "General purpose" VM's.
Once you open that link, In the left pane, You will have list of available classes of VM's like General purpose, memory optimized, compute optimized etc.
Expand the one which you are interested in and select the series. Then on the right, you can find a tabular column for each vm series type.
In that look for the last column.