If X has n elements, then_______permutations can be taken on X.
- n
- n!
- (n - 1)!
- (n + 1)!
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.
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