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Question: The possible blood groups of children born to parents having A and AB groups are: A). O, A B). A...

The possible blood groups of children born to parents having A and AB groups are:
A). O, A
B). A, B, AB
C). O, A, B
D). O, A, B, AB

Explanation

Solution

Parents with A and AB blood group cannot have children with O blood group.

Complete answer:
Human blood group inheritance shows an example of codominance as well as multiple alleles.It is governed by three alleles: IA{I^A}, IB{I^B} and IO{I^O}. IO{I^O} is recessive to both IA{I^A},and IB{I^B}. IA{I^A},and IB{I^B} may show codominance.
The parents have A and AB, blood groups. Blood group A indicates that the underlying genotype may be IAIO{I^A}{I^O} or IAIA{I^A}{I^A}. Blood group AB indicates co-dominance and the underlying genotype must be IAIB{I^A}{I^B}. Since we don't know what the genotype of the person with the blood group is, we have to take into account both cases.
In the first case (considering a person with A blood group has IA\text{I}^\text{A} IO\text{I}^\text{O} genotype):
IAIO{I^A}{I^O}(A blood group) × IAIB{I^A}{I^B}. (AB blood group).

GametesIA\text{I}^\text{A}IO\text{I}^\text{O}
IA\text{I}^\text{A}IA\text{I}^\text{A} IA\text{I}^\text{A}A blood groupIA\text{I}^\text{A} IO\text{I}^\text{O}A blood group
IB\text{I}^\text{B}IA\text{I}^\text{A} IB\text{I}^\text{B}AB blood groupIB\text{I}^\text{B} IO\text{I}^\text{O}B blood group

So, the possible IB\text{I}^\text{B} blood groups of children born in this case are A, B, and AB blood groups.
In the second case (considering a person with A blood group has IA\text{I}^\text{A} IA\text{I}^\text{A} genotype):
IAIA{I^A}{I^A}(A blood group) × IAIB{I^A}{I^B}. (AB blood group).

GametesIA\text{I}^\text{A}IA\text{I}^\text{A}
IA\text{I}^\text{A}IA\text{I}^\text{A} IA\text{I}^\text{A}A blood groupIA\text{I}^\text{A} IA\text{I}^\text{A}A blood group
IB\text{I}^\text{B}IA\text{I}^\text{A} IB\text{I}^\text{B}AB blood groupIA\text{I}^\text{A} IB\text{I}^\text{B}AB blood group

So, the possible blood groups of children born in this case are A and AB blood groups.
In none of the above cases, children have O blood group.
Hence, the correct option is B). A, B, AB

Note: The ABO blood group system was discovered by American biologist Karl Landsteiner in 1901. Hence it is sometimes also called the Landsteiner blood group system.