Find n, if `""^(n)P_(5)=42 ""^(n)P_(3), n ge 5`

Explanation

To solve the problem \( nP_5 = 42 \cdot nP_3 \) where \( n \geq 5 \), we will follow these steps:

### Step 1: Write the formula for permutations
The formula for permutations is given by:
\[ nP_r = \frac{n!}{(n-r)!} \]
Using this, we can express \( nP_5 \) and \( nP_3 \).
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