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Question: 2013 Fall Midterm - 5

Author: Pat Morin
How many bitstrings of length 55 start with 101 or end with 1111?
(a)
$2^{55} - 2^{52} - 2^{51}$
(b)
$2^{52} + 2^{51}$
(c)
$2^{55} - 2^{48}$
(d)
$2^{52} + 2^{51} - 2^{48}$