We all know factorials ($n! = 1 \cdot 2 \cdot 3 \cdot \ldots \cdot n$). Is there such function (or operator, or etc...) were $n$ will be divided by all the numbers before $n$. Somthing like this:
$$n \div \cdots \div 1$$
If it exists, what is it called and how do you notate it?
Division is not a commutative operation, meaning a/b does not equal b/a ( unless b=+-a, both not equal to zero). Thus, the expression n ÷ (n-1) ÷ (n-2) ÷ ...÷ 2 ÷ 1 does not make any sense unless we: 1. Take use of Pemdas (order of operations), or 2. Insert parantheses in desired location. If we use pemdas, the expression n ÷ (n-1) ÷ (n-2) ÷ ...÷ 2 ÷ 1 is equal to n/(n-1)! Here, n is assumed to be a natural number.