A father has blood group A and mother has blood group B ,What will be the possible blood group of the progeny ?

A, B, AB, and O.

The correct answer is Option (2) -A, B, AB, and O.

Human blood group inheritance is an example of both codominance and multiple alleles. It is controlled by three alleles:, I^A , I^B and i . The I^A and I^B alleles exhibit codominance, while the i allele is recessive to both I^A and I^B .There are six possible genotypes: I^AI^A , I^A i , I^B I^B ,I^B i , I^AI^B and ii .

Because I^A and I^B are dominant over the i allele, the genotypes I^A i and I^B i result in A and B blood groups, respectively. The genotypes I^AI^A, I^B I^B , and i i correspond to A, B, and O blood groups, respectively. Due to the codominance of I^A and I^B, the I^AI^B genotype produces the AB blood group. Thus, these six genotypes result in four different phenotypes. Consequently, parents with A and B blood groups can have children with A, B, AB, or O blood groups. The correct answer is "A".