Question

evaluate the factorial expression
9!-4!=

Answer 1

To evaluate the expression \(9! - 4!\), we first need to calculate the factorials of 9 and 4.

The factorial of a number \(n\), denoted as \(n!\), is the product of all positive integers up to \(n\).

1. Calculate \(9!\):
\[
9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 362880
\]

2. Calculate \(4!\):
\[
4! = 4 \times 3 \times 2 \times 1 = 24
\]

Now, substitute these values into the expression:
\[
9! - 4! = 362880 - 24
\]

Now, perform the subtraction:
\[
362880 - 24 = 362856
\]

Thus, the value of the expression \(9! - 4!\) is \(\boxed{362856}\).