Question

Recall that the value of the factorial function at a positive integer n, denoted by n!, is the product of the positive integers from 1 to n, inclusive. Also, we specify that 0! = 1.

Express n! using product notation.

Short answer

The product notion of factorial is $\prod _{i=1}^n i$.

Step-by-step solution

Determination of factorial

The product sigma gives the multiplication of all the numbers from lower limit to upper limit.

The value of the factorial of n is given as:

$n!=n(n-1)(n-2)(n-3)$

Representation of factorial in product notion

The product notion of factorial is given as:

$\begin{array}{r}n!=n(n-1)(n-2)(n-3)\\ n!=\prod _{i=1}^n i\end{array}$

Therefore, the product notion of factorial is localid="1668427944408" $\prod _{\mathrm{i}=1}^{\mathrm{n}}$.