SOLVED: Let A be a set with at least three elements Is there partition of A with exactly one element? If B = B1, Bz is a partition of A with B F Bz, is B1, Bz partition of A? Explain. (Here Bi = A B;.) What if B1 = Bz? If B = B1, Bz, Ba is a partition of A, is B1, B2, B3 partition of A? Explain Consider the possibility that two or more of the elements of B may be equal. (d) If B = B1; Bz is partition of A, C1 is a partition of Bl; and C2 is partition of Bz, and B # Bz, prove that C U

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