Question

In how many ways 6 letters can be posted in 5 different letter boxes?

• A. \( 6^5 \)
• B. \( 6^6 \)
• C. \( 5^6 \)
• D. \( 6! \)

Hint:

When posting multiple items into different containers, calculate the total possibilities by raising the number of containers to the power of the number of items.

Answer 1

The Correct Option is A

Step 1: Understand the problem.
Each letter can be placed in one of the 5 boxes. Therefore, the total number of ways to post 6 letters is \( 5^6 \).
Step 2: Conclusion.
Thus, the correct number of ways is \( 5^6 \).
Final Answer: \[ \boxed{5^6} \]