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Let U be set with number of element in U...

Let U be set with number of element in U is 2009. Consider the following statements :
I if A, B are subsets of U with `n(AuuB)=280,then n(A'nnB')=x_(1)^(3)+x_(2)^(3)=y_(1)^(3)+y_(2)^(3)` for some positive integers `x_(1),x_(2),y_(1),y_(2)`
II If A is a subset of U with n (A) = 1681 and out of these 1681 elements, exactly 1075 elements belong to a subset B of U, then n `(A-B)=m^(2)+P_(1)P_(2)P_(3)` for some positive integer m and distinct primes `P_(1),P_(2),P_(3)` whihc of the statements given above is/are correct ?

A

I only

B

II only

C

Both I and II

D

Neither I not II.

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