Property:Product of r consecutive number is divisible by r!

Explanation

To prove that the product of \( r \) consecutive integers is divisible by \( r! \), we can follow these steps:

### Step 1: Define the Product of \( r \) Consecutive Integers
Let \( M \) be a positive integer. The product of \( r \) consecutive integers starting from \( M \) can be expressed as:
\[ P = M \times (M + 1) \times (M + 2) \times \ldots \times (M + r - 1) \]

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