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16 March, 02:53

The international telecommunications union (itu) specifies that a telephone number must consist of a coun - try code with between 1 and 3 digits, except that the code 0 is not available for use as a country code, followed by a number with at most 15 digits. how many available possible telephone numbers are there that satisfy these restrictions?

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  1. 16 March, 05:32
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    998,999,999,999,999,001 telephone numbers possible

    Explanation:

    The 0 is not allowed as a country code, but can be part of a country code, like 501 for Belize. So, that means that for the country code, the possible values go from 1 to 999 ... which represent 999 possibilities.

    Then, for each of these country codes, you can have up to 15 digits for the phone numbers. Most countries use 6 to 12. The area code is part of the 15-digit phone number.

    Since there can be 15 digits, that means that can range from value 1 to value 999,999,999,999,999, for EACH country code.

    To get the total number of possibilities, we just have to multiply both numbers together:

    999 * 999,999,999,999,999 = 998,999,999,999,999,001 telephone numbers possible.
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