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A set B contain 2007 elements. Let C be ...

A set B contain 2007 elements. Let C be the sert consisting of subsets of B which contain, at most 1003 elements. The number of elements in C is :

A

`2^(2005)`

B

`2^(2006)`

C

`2^(1003)`

D

`2^(2007)`

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The correct Answer is:
B
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Knowledge Check

  • A set contsins (2n+1) elements. The number of subset of the set which contain at most n elements is

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