If `\ ^(10)P_r=5040` find the value of `rdot`

Explanation

To solve the problem where we need to find the value of \( r \) given that \( ^{10}P_r = 5040 \), we can follow these steps:

### Step 1: Understand the formula for permutations
The formula for permutations is given by:
\[ ^{n}P_r = \frac{n!}{(n-r)!} \]
In this case, \( n = 10 \), so we have:
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