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Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in random order. Let the probability that this number is divisible by 9 be `p=a/b`. Where a, b are relatively prime positive integers, then the value of a + b is ……….

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The correct Answer is:
10
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Knowledge Check

  • Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written in random order. The probability that this seven digit number is divisible by 9 is :

    A
    a. `7/9`
    B
    b. `1/9`
    C
    c. `2/(9!)`
    D
    d. `4/9`

  • Seven digits from the numbers 1,2,3,4,5,6,7,8 and 9 are written in random order. The probability that this seven digit number is divisible by 9 is :

    A
    `7/9`
    B
    `1/9`
    C
    `2/9`
    D
    `4/9`

  • The digits 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in random order to form a nine digit number. Find the probability that this number is divisible by 4 :

    A
    a. rs.81
    B
    b. rs.84.72
    C
    c. rs.76.38
    D
    d. rs.82.9