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Default SUMPRODUCT to count items with duplicates where another column contains two defined items

Ok, I think this is a SUMPRODUCT delima.

A B C D
z 1
q 1
z 5
w 0
z 2
q 2

I'd like to get a count of duplicate values in column A that have both 1 and
2 values in column C. For example, "z" shows up three times in column A.
Respectively "1" and "2" show up. That would count as one. Also, "q"
exists twice in column A. Again respectively "1" and "2" shows up. That
would also count as one. So the result for this formula would be 2 for my
example. However, my data is much more.

Any ideas.

Note, the values in column A are unknown. The number of times each value
may show could be as many as 4.


Thanks,
Paul

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