SOLUTION: A company has 700 employees.Explain why there must be two people with the same pair of initials?

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Question 774249: A company has 700 employees.Explain why there must be two people with the same pair of initials?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
You can choose the first letter of their initial 26 ways.  And for each
of those ways, you can choose their other initial in 26 ways also.  So
there are 26×26 or 676 different two-letter initials.  Since there are
more than 676 employees in the company, there aren't enough different initials
to go around, so some employees must have the same initial.

[In any group of more than 366 people, there are bound to be some people with
the same birthday.]

[In a city of more than 26³ or 17,576 population, there are bound to be
residents with the same three-letter initials.]  

Edwin


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