JEE Main 2002 Mathematics question
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: (4)
Solution
The intended (standard) data are the digits 0, 1, 2, 3, 4, 5. Their sum is 15; to form a 5-digit number divisible by 3 we must omit one digit whose removal keeps the digit sum a multiple of 3, i.e. omit 0 or 3. Omitting 0: digits {1, 2, 3, 4, 5}, all arrangements valid: . Omitting
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