What is the total number of unique three-digit integers that consist of three distinct digits?

Answer Choices

Correct answer marked below

432

576

648

Correct

792

864

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Explanation

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Official Explanation

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To form a three-digit integer, the first digit cannot be 0. Therefore, we have 9 options for the first digit (1-9). For the second digit, we can include 0, giving us 9 choices (0 plus the remaining 8 digits). The third digit must be…

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Comments

KshitizJul 10, 2024

can you explain more?

jingMar 6, 2024

cheers!

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.