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 receives at least 1 apple and at most 4 apples, we can follow these steps:

### Step 1: Identify the distributions
We need to find all possible distributions of apples that satisfy the conditions. The distributions must add up to 8 apples, with each boy receiving between 1 and 4 apples. The valid distributions are:
1. (1, 3, 4)
2. (2, 2, 4)
3. (2, 3, 3)

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