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Mathematics
Mathematics
Problem
Evaluate the sum
∑
k
=
0
6
2
6
−
k
(
6
k
)
\displaystyle \sum_{k=0}^{6} 2^{6-k}\,{6\choose k}
k
=
0
∑
6
2
6
−
k
(
k
6
)
. a)
486
486
486
b)
728
728
728
c)
729
729
729
d)
243
243
243
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