12 people in single file

Statement

In how many ways can $12$ people be arranged in single file?

Solution

Arranging all $12$ people in a line (distinct, order important, without repetition) means counting the permutations of $12$ objects, that is $12!$. $12! = \boxed{479\,001\,600}$

Links

Topics: Combinatorics
Concepts: Factorial · Permutations
Methods: Factorial permutations
Skills: Combinatorial calculus
Exercise type: Combinatorial problem