Question

Determine whether the given situation would best be modeled by a permutation, a combination, or the fundamental counting principle.

Suppose that there is a 4-digit passcode on your phone in which the digits cannot repeat. How many different 4-digit passcodes are possible if digits cannot be repeated?

Question 3 options:

Fundamental Counting Principle


Permutation


Combination

Answers

GPT-4o mini
The situation described involves creating a 4-digit passcode where the digits cannot repeat. Since the order in which the digits are arranged matters (i.e., 1234 is different from 4321), this scenario is best modeled by a permutation.

So the correct answer is:

**Permutation**

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