GrabielZ550761 GrabielZ550761
  • 03-11-2022
  • Mathematics
contestada

How many different 7-digit telephone numbers can be made if the first digit cannot be7,8, 9 or 0?

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KerolosX439740 KerolosX439740
  • 03-11-2022

The total amount of numbers that can be made is equal to the product of the amount of options for each digit.

The first digit has only 6 options: 1, 2, 3, 4, 5, or 6.

The other six digits have 10 options: 0,1,2,...,9.

Then, the total amount of different telephone numbers is six million:

[tex]6\times10\times10\times10\times10\times10\times10=6,000,000[/tex]

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