Question

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

Answer 1

Numbers of digits for unit place $(2,4\text{and}6)=3$
Number of digits for tens place $=6$
Number of digits for hundreds place $=6$
$\therefore$ Required number of $3$ digit even numbers $=3\times 6\times 6=108$