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Combinatorics

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A Sum with 9's

COMBIN-JEW4X5

What is the value of the sum:

$${5\choose 0}+{5\choose 1}9 + {5\choose 2}9^2 + {5\choose 3}9^3 + {5\choose 4}9^4 + {5\choose 5}9^5?$$

A

$5^9$

B

$9^5$

C

$9^6$

D

$10^5$

E

none of the above