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31 March, 06:30

Most phone numbers have seven digits after the area code, where each digit can be 0-9. How many different phone numbers can there be in one area code

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  1. 31 March, 09:52
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    9 * 10⁶ = 9,000,000

    Step-by-step explanation:

    Data provided in the question:

    The phone number is of 7 digits

    i. e

    we have 7 blanks to fill

    also,

    we have choices from 0-9 i. e 10 number of choices

    Now,

    the first digit of the number cannot be zero

    Thus,

    we have only 9 choices out of 10 for the first digit

    And, for the rest of the 6 blanks we have 10 choices for each

    Therefore,

    The total number of different phone numbers can there be in one area code that can be formed

    = 9 * 10 * 10 * 10 * 10 * 10 * 10

    = 9 * 10⁶

    = 9,000,000
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