what does an exclamation point mean in math

what does an exclamation point mean in math

6 hours ago 4
Nature

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

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