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Number of non-empty subsets {1,2,3,4,5,6...

Number of non-empty subsets `{1,2,3,4,5,6,7,8}` having exactly k elements and do not contain the element k for some `k = 1,2"….."8` is

A

63

B

255

C

127

D

31

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The correct Answer is:
A
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