**P(n): n! > 3n for n ≥ 7. What is the Base Step?**

The **Answer to the Question**

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**Here's the Solution to this Question**

Let $P(n): n! > 3n$ for $n ≥ 7$. Since we prove that statement is true for all $n ≥ 7$, we conclude that the Base Step is for $n=7$, that is $P(7): 7! > 3\cdot 7$ which is equivalent to $5040>21.$