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Question
How many seven-digit telephone numbers are posible if the first two digits cannot be ones or zeros?

Answer
Hi Angela,

Okay, we're assuming that after the first two, anything goes.

So, by the Fundamental Counting Principle , we have:

      8 * 8 * 10 * 10 * 10 * 10 * 10 = 64 * 10^7

                                     = 640,000,000.

Remember, this allows for repeated digits, so you could have a number
like 7 7 5 - 5 5 5 5 and so on.

Hope this is what you wanted.
Steve

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Steve Holleran

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I can help with all math questions from basic math to Calculus. Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.

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33 years teaching experience in NJ public schools

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B.S. Mathematics : Wake Forest University 1972 M.S. Mathematics : Monmouth University 1981

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