If the universe of disclosure is set of integers, then which of the followings are TRUE?
(A) ∀n ∃m(n2 < m)
(B) ∃n ∀m(n < m2)
(C) ∃n ∀m(nm = m)
(D) ∃n ∃m(n2 + m2 = 6)
(E) ∃n ∃m(n + m = 4 ∧ n - m = 1)
Choose the correct answer from the options given below:
1
(A), (B) and (C) Only
2
(B) and (C) Only
3
(C), (D) and (E) Only
4
(C) and (E) Only