`{:("Quantity A","Quantity B"),("The product of all the integers","The product of all the integers"),("from 2 to 23, inclusive","from 5 to 24, inclusive"):}`

Options

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the infromation given.

Answer

To solve the problem, we need to compare Quantity A and Quantity B, which are defined as follows:

- **Quantity A**: The product of all integers from 2 to 23, inclusive.
- **Quantity B**: The product of all integers from 5 to 24, inclusive.

### Step-by-Step Solution:

1. **Define Quantity A**:
\[ A = 2 \times 3 \times 4 \times 5 \times 6 \times \ldots \times 23 \]

2. **Define Quantity B**:
\[ B = 5 \times 6 \times 7 \times 8 \times \ldots \times 24 \]

3. **Identify Common Factors**:
Both quantities share the product of integers from 5 to 23. Therefore, we can express both quantities in terms of these common factors:
\[ A = (2 \times 3 \times 4) \times (5 \times 6 \times 7 \times \ldots \times 23) \]
\[ B = (5 \times 6 \times 7 \times \ldots \times 23) \times (24) \]

4. **Simplify Quantity A**:
Calculate the product of the integers from 2 to 4:
\[ 2 \times 3 \times 4 = 24 \]
Thus, we can rewrite Quantity A as:
\[ A = 24 \times (5 \times 6 \times 7 \times \ldots \times 23) \]

5. **Rewrite Quantity B**:
We can also express Quantity B as:
\[ B = (5 \times 6 \times 7 \times \ldots \times 23) \times 24 \]

6. **Comparison of Quantities**:
Since both quantities A and B can be expressed as:
\[ A = 24 \times (5 \times 6 \times 7 \times \ldots \times 23) \]
\[ B = (5 \times 6 \times 7 \times \ldots \times 23) \times 24 \]
It is clear that:
\[ A = B \]

### Conclusion:
Thus, we conclude that Quantity A is equal to Quantity B.

### Final Answer:
**Quantity A = Quantity B**