A man with blood group 'A' marries a woman with blood group 'B'. What are all the possible blood groups of their offsprings?

Options

A. A and B
B. A, B and AB
C. A, B, AB and O
D. Only O

Answer

To determine the possible blood groups of the offspring from a man with blood group 'A' and a woman with blood group 'B', we need to analyze their genotypes and the potential combinations.

### Step-by-Step Solution:

1. **Identify the Genotypes of the Parents:**
- The man with blood group 'A' can have two possible genotypes:
- Genotype 1: \( I^A I^A \) (homozygous)
- Genotype 2: \( I^A I^O \) (heterozygous)
- The woman with blood group 'B' can also have two possible genotypes:
- Genotype 1: \( I^B I^B \) (homozygous)
- Genotype 2: \( I^B I^O \) (heterozygous)

2. **Determine Possible Combinations:**
- We will consider all combinations of the parents' genotypes:
- **Combination 1:** \( I^A I^A \) (man) x \( I^B I^B \) (woman)
- Offspring: \( I^A I^B \) (Blood group AB)
- **Combination 2:** \( I^A I^A \) (man) x \( I^B I^O \) (woman)
- Offspring: \( I^A I^B \) (Blood group AB) and \( I^A I^O \) (Blood group A)
- **Combination 3:** \( I^A I^O \) (man) x \( I^B I^B \) (woman)
- Offspring: \( I^A I^B \) (Blood group AB) and \( I^O I^B \) (Blood group B)
- **Combination 4:** \( I^A I^O \) (man) x \( I^B I^O \) (woman)
- Offspring: \( I^A I^B \) (Blood group AB), \( I^A I^O \) (Blood group A), \( I^B I^O \) (Blood group B), and \( I^O I^O \) (Blood group O)

3. **List All Possible Blood Groups:**
- From the combinations above, the possible blood groups of the offspring are:
- Blood group A
- Blood group B
- Blood group AB
- Blood group O

4. **Conclusion:**
- Therefore, the possible blood groups of the offspring from a man with blood group 'A' and a woman with blood group 'B' are A, B, AB, and O.

### Final Answer:
The possible blood groups of their offspring are A, B, AB, and O.

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