What types of blood can a woman with type A and a man with type B potentially have as offspring?

A woman with type A blood can have either genotype AA or AO, while a man with type B blood can be either BB or BO. The potential genotypes of their offspring depend on the combination of these alleles from both parents.

1. If the mother has the AA genotype and the father has the BB genotype, all offspring would be AB.

2. If the mother is AA and the father is BO, the offspring can be AB or A.

3. If the mother is AO and the father is BB, the possible offspring can be AB or B.

4. If the mother is AO and the father is BO, the possible offspring can be A, B, AB, or O.

Thus, through these combinations, the potential blood types of the offspring from a type A mother and a type B father include A, B, AB, and O. This is why the correct answer includes all four blood types.