Nine different letters are to be dropped in three different letter boxes. In how many different ways can this

Question

Nine different letters are to be dropped in three different letter boxes. In how many different ways can this be done?

Accepted Answer

To find the total number of ways to drop the letters, we analyze each letter individually.

Each of the nine letters has three options because there are three different letter boxes.

For the first letter, there are 3 choices.
For the second letter, there are 3 choices.
This continues for all nine letters.

Therefore, the total number of ways is calculated by multiplying the choices for each letter together:
3 multiplied by itself 9 times, which is 3 raised to the power of 9.

3 to the power of 9 equals 19683.

Note on the options provided: The options in the question appear to be written using superscripts that were not formatted correctly. Option B, which is 39, represents 3 raised to the power of 9. Therefore, 3 to the power of 9 is the correct mathematical approach, making B the correct choice.

Answer

27

Answer

39

Answer

93

Answer

393

Nine different letters are to be dropped in three different letter boxes. In how many different ways can this be done?

Explanation

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