The question is incomplete. To determine how many digits are divisible by 3, we need to specify the set of digits from which the numbers are formed and the number of digits in each number. The provided references show examples with 3-digit and 4-digit numbers, but the question doesn't state the relevant constraints.
Here are examples based on the references:
Example 1: Three-Digit Numbers with Odd Digits
One reference asks: "A three-digit number has all digits odd. How many such numbers are divisible by 3?" The answer given is between 29 and 41, depending on the interpretation of the question, but a definitive answer isn't explicitly provided in that reference.
- Possible Odd Digits: 1, 3, 5, 7, 9
- Divisibility Rule for 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
To find the solution, one would need to systematically check all possible combinations of three odd digits and count those whose sum is divisible by 3.
Example 2: Numbers Formed from Specific Digits
Another reference mentions examples using the digits {1,8,9}, {1,5,9}, {1,3,5}, {1,8,3} to create three-digit numbers and {1,3,5,9}, {1,3,8,9} to create four-digit numbers. These specific examples show that the number of such digits is highly dependent on the available digits.
- Three-digit numbers: 24 numbers divisible by 3 (as stated in the reference).
- Four-digit numbers: 24 numbers divisible by 3 (as stated in the reference).
Example 3: Ambiguous Cases
Many other references mention variations on this problem, underlining the importance of specifying the conditions. The lack of clear constraints in the original question renders a definitive answer impossible.
In conclusion, without specifying the set of digits used and the number of digits in each number, a precise answer to "How many such digits which are divisible by 3?" cannot be given.
