Determine how many 3-digit even numbers can be formed using the digits $0,2,4,5,8,9$ if digits can be repeated.

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120

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Official Explanation

Official

To find the number of 3-digit even numbers using the digits

0,2,4,5,8,9

, we denote the 3-digit number as abc. The first digit a can be chosen from 2, 4, 5, 8, 9, giving us 5 options. The second digit b can be any of the digits…

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Comments

HarshApr 20, 2024

Great question!

pulkitSep 27, 2024

thanks for taking time to upload it!

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.

Determine how many 3-digit even numbers can be formed using the digits 0,2,4,5,8,90,2,4,5,8,90,2,4,5,8,9 if digits can be repeated.