n-factorial

noun
UK /ɛn fækˈtɔː.ri.əl/
US /ɛn fækˈtɔːr.i.əl/

The product of all whole numbers from 1 up to n, written with an exclamation mark.

The n-factorial of 5, written 5!, equals 120.


OTHER MEANINGS

2. A mathematical function denoted by an exclamation mark that multiplies a number by every smaller positive integer.

She computed the factorial of 6 to solve the counting problem.

3. In combinatorics, the number of ways to arrange n distinct objects in a row.

The n-factorial counts the orderings of n different books on a shelf.

4. A recursive expression where n! equals n times (n−1)!.

Using the recursive rule, 4! is 4 times 3!, which is 24.