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Practice By Tag: Counting Bitstrings of Length n

Question: 2014 Fall Final - 3

1 . What is $$ \sum_{k = 0}^{45} {45 \choose k}(-3)^{2k}. $$

(a)

$(-2)^{45}$

(b)

$4^{45}$

(c)

$10^{45}$

(d)

$(-8)^{45}$