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Default Count/sumproduct

I have a spreadsheet that I need to find "Smith", then count if both dog and
cat appear for the same row, i.e.
(G) (K) (dog) (S) (cat)
Smith 1 1
Smith 1
Smith 1
Jones 1 1
Nelson 1 1
Anderson 1 1
Smith 1 1

The answer in this particular example should be 2 (there are two rows of
Smith that meet the criteria)

Any assistance would be greatly appreciated. Thanks.

 
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