In mathematics, an exclamation point (!) denotes the factorial operation. The factorial of a non-negative integer nnn, written as n!n!n!, is defined as the product of all positive integers from 1 up to nnn. For example:
4!=4×3×2×1=244!=4\times 3\times 2\times 1=244!=4×3×2×1=24
By definition, 0!0!0! is equal to 1. Factorials are fundamental in combinatorics, sequences, and various areas of mathematics where counting arrangements or permutations is involved
. In summary:
- n!n!n! means multiply all whole numbers from 1 to nnn.
- 0!=10!=10!=1 by convention.
- Factorials grow very quickly as nnn increases.
This notation is distinct from the exclamation mark used in punctuation; in math, it specifically refers to this product operation
