Find the number of ways in which 8 non-identical apples can be distributed among 3 boys such that every boy should get at least 1 apple and at most 4 apples.

Explanation

To solve the problem of distributing 8 non-identical apples among 3 boys such that each boy gets at least 1 apple and at most 4 apples, we can break it down into cases based on how many apples each boy receives.

### Step-by-Step Solution:

1. **Understanding the Constraints**:
- Each boy must receive at least 1 apple and at most 4 apples.
- We need to find combinations of distributions that sum to 8 apples.

...