If X has n elements, then_______permutations can be taken on X.

If X has n elements, then_______permutations can be taken on X.

Explanation

The correct answer is: n!.

If X has n elements, then the number of permutations (i.e., arrangements) that can be taken on X is given by the factorial function:

n! = n × (n-1) × (n-2) × ... × 2 × 1

This counts the number of ways to arrange the n elements in a particular order.