As stated earlier, the universal notation for the factorial function is denoted by an exclamation mark. For many, the factorial function is a relatively simple function, but for the sake of clarification lets define what it is. A factorial function is denoted by the following: \[n! = n \cdot (n - 1) \cdot \cdots \cdot 2 \cdot 1\] Think of factorials as the number of ways to arrange n objects. This means factorials are the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point. For example, seven factorial is written 7!, meaning: \[7!=1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7\]. Or seven factorial is the number of ways to arrange seven objects(The Factorial Function (Article), 2022). So, if you have 7 different colored apples, and want to find out how many ways you can arrange them, you would compute 7! which is 5040. A nuance to this is finding zero factorial. Many students who have experience in math already know: \[0!=1\], but few can explain why this is. To find the value of zero factorial, simply ask, "How many ways can you order a set with no elements?" Here you need to stretch your thinking a little bit. Even though there is nothing to put in an order, there is only one way to do this. While it may seem difficult to comprehend how a set of nothing can be arranged one time, it is important to note that having nothing to arrange a set is still a way of arranging the set. Thus you have 0! = 1. This is the most basic definition of the factorial function, but there are other applications for factorials in mathematics(Taylor, 2020).