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Mathematics
Mathematics
Problem
Determine the value of
∑
k
=
0
9
(
−
1
)
k
(
10
k
)
\displaystyle \sum_{k=0}^{9} (-1)^k {10\choose k}
k
=
0
∑
9
(
−
1
)
k
(
k
10
)
. a)
0
0
0
b)
1
1
1
c)
−
1
-1
−
1
d)
−
10
-10
−
10
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