A couple has a child whose blood group is different from his mother as well as his father. The possible blood group of the parents could not be

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The possible offsprings of parents with blood groups A $(I^{A} I^{O})$ and AB $(I^{A} I^{B})$ are A, B and AB

	$I^{A}$	$I^{O}$
$I^{A}$	$I^{A} I^{A}$ (Blood group A)	$I^{A} I^{O}$ (Blood group A)
$I^{B}$	$I^{A} I^{B}$ (Blood group AB)	$I^{B} I^{O}$ (Blood group B)

Thus in this combination there is B blood group which doesn't match with the parents.

The possible offsprings of parents with blood groups $B (I^{A} I^{O})$ and $A B (I^{A} I^{B})$ are A, B and AB

	$I^{B}$	$I^{O}$
I A	I A I B (Blood group AB)	$I^{A} I^{O}$ (Blood group A)
$I^{B}$	$I^{B} I^{B}$ (Blood group B)	$I^{B} I^{O}$ (Blood group B)

Thus in this combination there is A blood group which doesn't match with the parents.

The possible offsprings of parents with blood groups $O (I^{O} I^{O})$ and $A B (I^{A} I^{B})$ are A and B

	$I^{O}$
I A	$I^{A} I^{O}$ (Blood group A)
$I^{B}$	$I^{B} I^{O}$ (Blood group B)

Thus in this combination there is A and B blood groups which doesn't match with the parents.

The possible offsprings of parents with blood groups $A (I^{A} I^{O})$ and $O (I^{O} I^{O})$ are A and O

	$I^{O}$
$I^{A}$	$I^{A} I^{O}$ (Blood group A)
$I^{O}$	$I^{O} I^{O}$ (Blood group O)

In this combination there is A and O blood groups which match with the parents.

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