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Question: 2016 Fall Final - 3

Author: Michiel Smid
How many bitstrings of length 55 start with 000 or end with 1010?
(a)
$2^{51} + 2^{52} - 2^{48}$
(b)
None of the above.
(c)
$2^{55} - 2^{48}$
(d)
$2^{51} + 2^{52}$