Statement-1: If A and B are two sets having 3 and 5 elements respectively, then the total number of functions that can be defined from A to B is `5^(3)`.
Statement-2: A function from set A to set B relates elements of set A to elements of set B.

Options

A. 1
B. 2
C. 3
D. 4

Explanation

To solve the problem, we need to analyze the two statements provided and determine their validity based on the definitions of functions and sets.

### Step-by-Step Solution:

1. **Understanding the Sets:**
- Let set A have 3 elements. We can denote it as \( A = \{a_1, a_2, a_3\} \).
- Let set B have 5 elements. We can denote it as \( B = \{b_1, b_2, b_3, b_4, b_5\} \).

**Hint:** Identify the number of elements in each set clearly.

2. **Defining a Function:**
- A function from set A to set B assigns each element in A to exactly one element in B. This means for each element in A, we can choose any of the elements in B.

**Hint:** Recall that each element in the domain (set A) must map to one element in the codomain (set B).

3. **Calculating the Number of Functions:**
- For each of the 3 elements in set A, there are 5 choices in set B.
- Therefore, the total number of functions \( f: A \rightarrow B \) can be calculated as:
\[ \text{Total Functions} = 5 \times 5 \times 5 = 5^3 \]

**Hint:** Use the multiplication principle of counting: if you have multiple independent choices, multiply the number of choices together.

4. **Evaluating Statement-1:**
- Statement-1 claims that the total number of functions from A to B is \( 5^3 \). Since we calculated it to be \( 5^3 \), this statement is **true**.

**Hint:** Verify your calculations to confirm the statement's accuracy.

5. **Evaluating Statement-2:**
- Statement-2 states that a function from set A to set B relates elements of set A to elements of set B. This is a correct description of a function. Thus, this statement is also **true**.

**Hint:** Consider the definition of a function and how it applies to the sets given.

### Conclusion:
- **Statement-1** is true.
- **Statement-2** is also true.

### Final Answer:
Both Statement-1 and Statement-2 are true.