The number of 5 digit numbers that are divisible by 6 which can be formed by choosing digits from {0,1,2,3,4,5}, When repetition is allowed, is.

{0, 1, 2, 3, 4, 5}

Consider five places.

First place can be filled using 1 to 5 in 5 ways.

Each of the 2^nd, 3^rd, 4^th places can be filled using 0, 1, 2, 3, 4, 5 in 6 ways.

$\therefore$ No. of ways of filling first places $=5\times 6^3=1080$

In each arrangement by using numbers 0 to 5 in   units place we get 6 consecutive  numbers in which one  is divisible by ‘6’.

$\therefore$ No. of 5 digit Numbers divisible by 6=(1080)

                                                                      =1080