How many genetically different eggs could be formed


How many genetically different eggs could be formed by a women with the following genotypes?

Aa bb CC DD

Now it's obvious that one gamete will have (A b C D) and the other gamete will have (a b C D)

This is the way my textbook answered it "using the product rule(because the inheritance of each gene is independent), she can make 2x1x1x1= 2 different types of gametes. Please explain

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Biology: How many genetically different eggs could be formed
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