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How many 3-digits even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

Let the number be where is at the unit’s place, at the tens place and at the hundreds place.

As the number has to even, the digits possible at are or or That is number of possible digits at is

Now, as the repetition is allowed, the digits possible at is Similarly, at also, the number of digits possible is

Therefore, The total number possible numbers