Question

How many different telephone numbers (### - ####) are possible in an area code if the...

How many different telephone numbers (### - ####) are possible in an area code if the phone number cannot start with 0 or 1? Answer using commas as necessary.

Homework Answers

Answer #1

The telephone number which you mentioned is a 7 digit telephone number.

Since the first digit is not allowed to be 0 and 1 so there are 8 possibilities for the first digit and those possibilities are : number 2 to number 9

Now, the remaining 6 digits have no restriction so the number of possibilities for the remaining 6 digits are 10 possibilities which are: number 0 to number 9

So the total possible telephone numbers in an area code where the phone number cannot start with 0 and 1 are 8*10*10*10*10*10*10 = 8,000,000

So the answer is 8,000,000

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