1.

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 ?

Answer»

`I` only
`II` only
Both `I` and `II`
NEITHER `I` nor `II`

ANSWER :C


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