Total number of 3 digit numbers that are divisible by 6 and can be formed by using the digits 1,2,3,4,5 with repetition is ______

$\{1,2,3,4,5\}$
$1,2,3\to 312,132 \to 2$

$2,3,4\to 342,432,234,324\to 4$

$2,5,5\to 552\to 1$
$2,2,5\to 252,522\to 2$
$2,2,2\to 222\to 1$
$4,1,1\to 114\to 1$

$4,4,1\to 414,144\to 2$

$4,4,4\to 1\to 1$

$4,3,5\to 354,534\to 2$
Total $= 16$