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28 July, 03:10

The name of a variable in the X programming language is a string of at least one and at most eight characters that can contain uppercase letters, lowercase letters, digits, or underscores. The first character in a variable name must be a letter, either uppercase or lowercase. How many different variable names can a program in the X programming language use?

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  1. 28 July, 06:18
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    204,826,993,236,684 possible variables

    Explanation:

    Upper case characters = 26

    Lower case = 26

    Digit = 10

    Underscore = 1

    Total Characters = 26 + 26 + 10 + 1 = 63

    The following is the possible string selection of string of 8 characters that follow the above rule

    First character = Upper case or Lower case = 26 + 26 = 52

    Since there's no restriction on repitition of characters,

    The second, third, fourth, fifth, sixth, seventh and eighth character could be any character

    Second character = 63

    Third character = 63

    Fourth = 63

    Firth = 63

    Sixth = 63

    Seventh = 63

    Eight = 63

    Total number of characters = 52 * 63 * 63 * 63 * 63 * 63 * 63 * 63

    Total = 52 * 63^7

    Total = 204,826,993,236,684 possible variables
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