If all the four children of a family will not have similar blood group, than what will be the blood group genotype of father & mother ?

Options

A. `I^(A) I^(A)` and `I^(B) I^(B)`
B. `I^(A) I^(O)` and `I^(B) I^(B)`
C. `I^(A) I^(O)` and `I^(B) I^(O)`
D. `I^(A) I^(A)` and `I^(B) I^(O)`

Answer

To determine the blood group genotypes of the father and mother, given that all four children of a family do not have the same blood group, we can follow these steps:

### Step 1: Understand Blood Group Inheritance
Blood groups are determined by alleles. The possible alleles are:
- IA (A blood group)
- IB (B blood group)
- IO (O blood group)

### Step 2: Identify Possible Blood Groups of Children
Since the children do not have the same blood group, we can assume they have different combinations. Let's consider the following blood groups for the four children:
1. Child 1: Blood group A
2. Child 2: Blood group B
3. Child 3: Blood group AB
4. Child 4: Blood group O

### Step 3: Determine Genotypes of Each Child
Based on the blood groups, we can deduce the genotypes:
- Child 1 (A): Genotype could be IAIO or IAI (but since we need different blood groups, we will consider IAIO).
- Child 2 (B): Genotype could be IBIO or IBI (but we will consider IBIO).
- Child 3 (AB): Genotype must be IAI B.
- Child 4 (O): Genotype must be IOIO.

### Step 4: Determine Parents' Genotypes
Each child inherits one allele from each parent. To have children with the above genotypes, we can deduce the following:
- The father must contribute either IA or IB.
- The mother must contribute either IA or IO.

Thus, the possible genotypes for the parents that can produce all four blood groups are:
- Father: IAIO (heterozygous for A)
- Mother: IBIO (heterozygous for B)

### Conclusion
The blood group genotypes of the father and mother must be:
- Father: IAIO
- Mother: IBIO