The number of ways in which one can post 4 letters in 5 letter boxes, is

Options

A. `4^(5)`
B. `5^(4)`
C. 20
D. 9

Explanation

To solve the problem of how many ways one can post 4 letters into 5 letter boxes, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**:
We have 4 letters (let's denote them as L1, L2, L3, and L4) and 5 letter boxes (denote them as B1, B2, B3, B4, and B5). Each letter can go into any of the 5 boxes.

2. **Choices for Each Letter**:
For each letter, we have 5 choices (one for each box).
- For letter L1, we can choose any of the 5 boxes.
- For letter L2, we again have 5 choices.
- The same goes for letters L3 and L4.

3. **Calculating Total Combinations**:
Since the choices for each letter are independent of each other, we can multiply the number of choices for each letter together.
- Total ways = (Choices for L1) × (Choices for L2) × (Choices for L3) × (Choices for L4)
- Total ways = 5 × 5 × 5 × 5

4. **Expressing in Exponential Form**:
We can express this multiplication as an exponent:
- Total ways = 5^4

5. **Final Calculation**:
Now we can calculate 5^4:
- 5^4 = 625

Thus, the total number of ways to post 4 letters into 5 letter boxes is **625**.

### Final Answer:
The number of ways in which one can post 4 letters in 5 letter boxes is **625**.

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