Question Detail
Question
If P(n): n! > 2ⁿ for n ≥ 4, what is the smallest n for which this holds?
Correct Answer
Option C is the correct answer.
Detailed Explanation
Check: n=4: 4! = 24, 2⁴ = 16, 24 > 16, true. n=3: 3! = 6, 2³ = 8, 6 > 8 is false. So the smallest n ≥ 4 for which it holds is n=4.
Hint
Test values starting from n=4.