Five digit number divisible by 3 is formed using 0 1 2 3 4 6 and 7 without repetition Total number of such numbers are

Answer

6

Explanation

Since a five digits no. is formed using the digits `(0,1,2,3,4` and `5`)
divisible by `3` i.e. only possible
Case`-1` Using digits `0,1,2,4,5` no. of ways `= 4.4.3.2.1 = 96`
Case`-2` Using digits `1,2,3,4,5` no. of ways `5.4.3.2.1= 120`
Total numbers formed `= 120 + 96 = 216 = 6^(3)`