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Mathematics 18 Online
OpenStudy (anonymous):

A faulty telephone switch board at the Stuff Inc. causes the call to be connected at different number typed. The switch bug randomly switches 2 adjacent numbers. To avoid an embarrassing scenario, Stuff Inc. decided to limit number of available phone numbers such that even if there is a random switching of numbers you would still connect to the same phone. Assuming that the phone number is 7 numbers long, how many phone numbers are available?

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