How many numbers between 200 and 900 have exactly one digit that is 5?

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Correct answer marked below

648

512

252

225

189

Correct

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Official Explanation

Official

To find how many numbers between 200 and 900 have exactly one digit that is 5, we can consider three scenarios: 5XY, where X and Y can be any digit except 5 (and Y cannot be 0). This gives us 1*9*9 = 81 possibilities. Next, for X5Y (with X…

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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.