Let y=x! and z=(2x)!. If (z/y)=120, then what is the value of (3x)!?
- A. 362880 ✓
- B. 181440
- C. 90720
- D. 45360
Correct Answer: A. 362880
Explanation
Given \frac{(2x)!}{x!} = 120. Testing small integer values: if x=3, then \frac{6!}{3!} = \frac{720}{6} = 120. Therefore, x=3. The value of (3x)! = 9! = 362880.
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