How many possible 10-digit phone numbers with the area code 617 are there? (any decimal digit can be the digit of a phone number. For instance the number 617-000-0000 is a possible phone number)

Question

Avery Brooks

Mathematics

26 May, 00:17

How many possible 10-digit phone numbers with the area code 617 are there? (any decimal digit can be the digit of a phone number. For instance the number 617-000-0000 is a possible phone number)

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Alfie · Answer 1

If all digits are possible and we are restricted to the 617 area code, then there are:

10^7 possible numbers

Because each digit can have 10 possible values from 0 through 9, you get

10*10*10*10*10*10*10 which is just 10^7

10,000,000 (ten million)