How many 3-digit even numbers can be formed from the digits 1,2,3,4,5,6 if the digits can be repeated?
A three digit even number is to be formed from given 6 digits 1,2,3,4,5,6.
□□□HTOSince, 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