Answer :

To compute [tex]$5!$[/tex], we multiply all the positive integers from [tex]$1$[/tex] to [tex]$5$[/tex]:

[tex]$$
5! = 5 \times 4 \times 3 \times 2 \times 1
$$[/tex]

Now, we calculate step by step:

1. [tex]$5 \times 4 = 20$[/tex]
2. [tex]$20 \times 3 = 60$[/tex]
3. [tex]$60 \times 2 = 120$[/tex]
4. [tex]$120 \times 1 = 120$[/tex]

Thus, the value of [tex]$5!$[/tex] is [tex]$120$[/tex].

The correct answer is:

A. [tex]$120$[/tex]