Let `U` be set with number of elements 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)`
Which of the statements given above is/are correct ?

Options

A. I only
B. II only
C. Both I and II
D. Neither I not II.