volume_mute
Zero Factorial
publish date: 2026/05/23 05:43:42.193132 UTC
volume_mute
Based on the definition derived from permutation notation, what is the value of \(0!\)?
Correct Answer
1
Explanation
From the permutation formula \(^nP_n = \frac{n!}{(n-n)!} = \frac{n!}{0!} = n!\), it follows that \(0! = 1\). This is taken as the definition of \(0!\).
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012