In how many ways can `5` different balls be distributed among three boxes?

Explanation

To solve the problem of distributing 5 different balls among 3 boxes, we can follow these steps:

### Step 1: Understand the choices for each ball
Each ball can be placed in any of the 3 boxes. This means that for each ball, there are 3 independent choices.

### Step 2: Calculate the choices for all balls
Since there are 5 different balls and each ball has 3 choices, we can represent the choices mathematically. The first ball has 3 choices, the second ball also has 3 choices, and so on. This can be expressed as:

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