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    Question

    How many five digit numbers can be formed using the

    digits 0, 1, 2, 3, 4 and 5 which are divisible by 5, without repeating the digits?
    A 210 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 96 Correct Answer Incorrect Answer
    D 216 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    CASE 1: If last digit is 0, number of 5 digit can be formed by using the 1, 2,3,4& 5 = 5× 4×3×2 = 120 CASE 2: If last digit is 5, number of 5 digit can be formed by using the 0, 1, 2, 3 & 4 = 4× 4×3×2 = 96 (as a number can never start with 0) So total number of digits = 120 + 96 = 216

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