Which of the four statements given below is different from other?

Options

A. `f : A rarr B`
B. `f : x rarr f(x)`
C. f is a mapping of A into B
D. f is a function of A into B

Explanation

To determine which of the four statements is different from the others, we will analyze each statement one by one.

1. **Statement 1: F is to A**
- This statement implies that F maps the element A into B. In mathematical terms, it suggests a relationship where F is a function that takes an input A and produces an output in B.

2. **Statement 2: F is to X**
- This statement implies that F maps the element X into F(X). This means that the function F, when applied to X, gives us the output F(X). This is a specific case of function application.

3. **Statement 3: F is a mapping of A into B**
- This statement is similar to the first one. It explicitly states that F is a function that maps elements from set A to set B. Thus, it conveys the same meaning as the first statement.

4. **Statement 4: F is a function of A into B**
- This statement also conveys that F is a function that takes inputs from set A and produces outputs in set B. It aligns with the meanings of the first and third statements.

Now, let's summarize the findings:
- Statements 1, 3, and 4 all indicate a mapping from set A to set B.
- Statement 2, however, describes a function application where the output is dependent on the input X, which is a different concept.

Thus, the statement that is different from the others is **Statement 2: F is to X**.

### Final Answer:
The different statement is **Statement 2: F is to X**.