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22 October, 13:55

An octal number (that is, a number written in base 8), is a number written with digits from the set {1,2,3,4,5,6,7,8}. How many octal numbers of 11 digits are there?

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  1. 22 October, 13:58
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    8589934592

    Step-by-step explanation:

    Given:

    Set of octal numbers = { 1, 2, 3, 4, 5, 6, 7, 8}

    total number in the set = 8

    Now,

    The number is to be formed of 11 digits

    i. e

    we have 11 places to fill will the numbers given in the set

    thus,

    we have 8 choices for the single place in an 11 digit number

    therefore,

    total number of octal number that can be formed = qⁿ

    here,

    q is the number of choices

    n is the number of places to be filled

    thus,

    total number of octal number that can be formed = 8¹¹

    or

    8589934592 octal numbers of 11 digits can be there
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