Dear Maths Help, I hope you do not mind me troubling you with a question. I am seventy-nine years old, and try to keep my mind active by doing mathematics problems and "surfing" the internet. My question is: what does the exclamation mark mean when it is written after a number? I came across it in the answer section to a book of mathematical puzzles. |
The exclamation mark symbol is pronounced "factorial" when used in mathematics.
It is shorthand for what you get when you multiply the given number (which must be a positive whole number) by
all the smaller whole numbers down to 1.
For example:
So you can see that factorials get quite big very quickly.
Two "special cases" are:
Factorials have several applications. The most common one is:
N different items can be placed in a row in N! different ways |