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A set B contain 2007 elements. Let C be the set con sisting  of subsets of B which contain at most 1003 elements. The number of elements in C is

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answer is 2.

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Detailed Solution

The number of required subsets is N=2007C0+2007C1+2007C2+…+2007C1003N=2007C2007+2007C2006+…+2007C1004Adding above two equations we get  2N=2007C0+2007C1+…+2007C2007⇒N=22006
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A set B contain 2007 elements. Let C be the set con sisting  of subsets of B which contain at most 1003 elements. The number of elements in C is