Question

How many $3$-digit even number can be formed from the digit $1,2,3,4,5,6$ if the digits can be repeated atmost once.

Answer 1

Let the $3$ digit even no$:$ be

Hundreds Tens Units

place place place

Only $3$ no$:$ are possible at units place$(2,4$ and $6)$

$\therefore$ No$:$ of $3$ digit even no$:$ $=3\times 6\times 6=108.$