Question

evaluate the expression.
4!·3!
○ 12
○ 30
○ 144
○ 5,040

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 \(n\). So, \(n!=n\times(n - 1)\times(n - 2)\times\cdots\times1\)

For \(n = 4\), \(4! = 4\times3\times2\times1\)

$$4! = 24$$

For \(n=3\), \(3! = 3\times2\times1\)

$$3! = 6$$

Step2: Multiply the two factorials

We need to find the value of \(4!\times3!\). Substitute the values of \(4!\) and \(3!\) we found above:
\(4!\times3!=24\times6\)

$$24\times6 = 144$$

Answer:

144