Question

In Exercises \(\mathrm{P} .100\) to \(\mathrm{P} .107,\) calculate the requested quantity. $$ 8 ! $$

Short answer

The factorial of 8, denoted as \(8!\), is 40320.

Step-by-step solution

Understanding the Factorial

The factorial of a number is the product of all positive integers less than or equal to that number. The factorial operation is symbolized with an exclamation point. Thus, the task at hand is to find the factorial of 8, written as \(8!\).

Calculation

To calculate \(8!\), multiply all positive integers from 1 to 8 together. Like so: \(8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\).

Compute the Product

Multiply all of the numbers together: \(8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40320\). Therefore, \(8! = 40320\).