## Question

### Solution

Correct option is

216

The sum of the numerals 0, 1, 2, 3, 4 and 5 is 15. We know that five digit is divisible by 3 if and only if the sum of its digits is divisible by 3. Therefore, we should not eight 0 or 3 while forming the five digit numbers. If we do not user 0, then the remaining digit can be arranged in ways. If we do not use 3, then the remaining digit can be ways to obtain a five digit number. Thus, the total number of such 5 digit numbers is 120 + 96 = 216.

#### SIMILAR QUESTIONS

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