Complete the given table showing different possililities of genotypes and their corresponding blood group, by selecting the correct option
`{:("Genotypes",,"Blood groups"),(I^(A)I^(A)"," overset("(i)")("___"),,A),(I^(B)I^(B)"," overset("(ii)")("___"),,B),(overset("(iii)")("____"),,AB),(overset("(iv)")("____"),,O):}`

Options

A. `{:(" (i) (ii) (iii) (iv)"),(I^(A)I^(A)" "I^(B)I^(B)" "I^(A)I^(B)" "ii ):}`
B. `{:(" (i) (ii) (iii) (iv)"),(I^(A)I^(A)" "I^(B)I^(B)" "I^(A)I^(B)" "I^(A)i ):}`
C. `{:("(i) (ii) (iii) (iv)"),(I^(A)i" "I^(B)i" "I^(A)I^(B)" "ii ):}`
D. `{:("(i) (ii) (iii) (iv)"),(I^(A)i" "I^(B)i" "I^(A)I^(B)" "I^(B)i ):}`

Answer

To complete the given table showing different possibilities of genotypes and their corresponding blood groups, we can analyze the information about blood groups and their associated genotypes.

### Step-by-Step Solution:

1. **Understanding Blood Groups and Alleles**:
- There are three alleles involved in determining blood groups: IA, IB, and i.
- The combinations of these alleles determine the blood group.

2. **Identifying Genotypes for Each Blood Group**:
- **Blood Group A**:
- Possible genotypes are IAIA (homozygous) or IAi (heterozygous).
- For the first blank, we can fill it with **IAIA**.
- **Blood Group B**:
- Possible genotypes are IBIB (homozygous) or IBi (heterozygous).
- For the second blank, we can fill it with **IBIB**.
- **Blood Group AB**:
- The genotype is IAIB, as both alleles A and B are expressed.
- For the third blank, we can fill it with **IAIB**.
- **Blood Group O**:
- The only genotype is ii (homozygous recessive).
- For the fourth blank, we can fill it with **ii**.

3. **Final Table Completion**:
- Now, we can summarize the completed table:
```
| Genotypes | Blood Groups |
|-------------|--------------|
| IAIA | A |
| IBIB | B |
| IAIB | AB |
| ii | O |
```

### Completed Table:
```
| Genotypes | Blood Groups |
|-------------|--------------|
| IAIA | A |
| IBIB | B |
| IAIB | AB |
| ii | O |
```