how many 3 digit even numbers can be formed from the digits 123456 if the digit cannot be repeated
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A three digit even number is to be formed from given 6 digits 1,2,3,4,5,6.
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Since, for the number is to be even , so ones place can be filled by 2,4 or 6. So, there are 3 ways to fill ones place.
Since, repetition is allowed , so tens place can also be filled by 6 ways.
Similarly,hundreds place can also be filled by 6 ways.
So, number of ways in which three digit even numbers can be formed from the given digits is 6×6×3=108
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