Question

question 38
what is 3!?
select one
○ 6
○ 9
○ 4
○ 12

Explanation:

Step1: Recall Factorial Definition

The factorial of a non - negative integer \(n\), denoted as \(n!\), is the product of all positive integers less than or equal to \(n\). Mathematically, \(n!=n\times(n - 1)\times(n - 2)\times\cdots\times1\) for \(n\geq1\), and \(0!=1\) by definition.

Step2: Calculate \(3!\)

For \(n = 3\), we use the formula \(n!=n\times(n - 1)\times(n - 2)\). Substituting \(n = 3\) into the formula, we get \(3!=3\times2\times1\). First, calculate \(3\times2 = 6\), then \(6\times1=6\).

Answer:

A. 6