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Question: 2013 Fall Midterm - 6

Author: Pat Morin
Each person in a group of $ n $ people has a last name consisting of two uppercase letters. For what values of $ n $ can we guarantee that there are at least two people with the same last name?
(a)
$n \geq 677$
(b)
$n \geq 52$
(c)
$n \geq 676$
(d)
$n \geq 26$