Question

    How many 4-digit numbers can be formed from the digits 2,3,5,6,7 and 9 which are divisible by 3 and none are repeated?

    A 144 Correct Answer Incorrect Answer
    B 196 Correct Answer Incorrect Answer
    C 288 Correct Answer Incorrect Answer
    D 256 Correct Answer Incorrect Answer

    Solution

    Only that number is divisible by which the sum of all its digits is divisible by three. These numbers can be as follows- 2367 or 2379 or 2679 3567 or 3579 or 5679 Week Total way to make four-digit number divisible by 3- 4! +4! +4! +4! +4! +4! =6×4! =6×4×3×2×1=144.

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