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how may 3 digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be repeated ?
There will be as many ways as there are ways of filling 3 vacant places in succession by the given six digits.In this case the unit place can be filled by 2 or 4 or 6 only.
ie, the unit place can be filled in 3 ways .The tens place can be filled by any of the six digits in six different ways and also the hundreds place can be filled by any of the six digits in six different ways , as the digits can be repeated.
Therefore the required number of three digit even number is 3 x 6 x 6 = 108


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