Consider a 3-character alphanumeric code with specific properties: the first character can be any digit from 1 to 8, the second character can be any lowercase letter from b to y, and the third character can be any of the characters allowed for the first two positions. How many unique codes can be created?

Answer Choices

Correct answer marked below

512

6144

Correct

4096

7680

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Official Explanation

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In this scenario, the 3-character alphanumeric code has the following options: The first character can be any digit from 1 to 8, giving us a total of 8 possibilities. The second character can be any lowercase letter from b to y, which provides us with 24 options (26 total…

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Comments

KevinApr 3, 2025

greatt question!

rijulMay 14, 2024

Thank you very much!

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.