5 digit number divisible by 9 are to be formed by using the digits 0, 1, 2, 3, 4, 7, 8 without repetition. The total number of such 5 digited numbers formed is

{0, 1, 2, 3, 4, 7, 8}  is the given set.

A number is divisible by 9 if sum of digits is divisible by 9

(i)   using 1, 2, 3, 4, 8 No. of 5 digit Number=5!

(ii)  using 0, 1, 2, 7, 8 No. of 5 digit Number=4(4!)

     Total Number of 5 digit Numbers =120+(24)4

                                                                 =120+96=216