As an alternative if you want to do other comparisons, you might
consider using autofilters. You could filter for dog colour in one
column and for eye colour in another and this formula would give you a
count of the visible rows:

=SUBTOTAL(3,A3:A5000)

You could insert a new row at the very top of your spreadsheet and put
this formula there, so that it is always visible when you apply the
filters. I am assuming that you have a header row (which would become
row 2), so that your data begins in row 3. Adjust the range to suit.
Choosing other filters would allow you to record other counts.

Hope this helps.

Pete