Let X = {a, b, c}, T1 = {X, p, {a}, {b}, {a,b}} and T2 = {X, p, {a}, {c}, {a,c}}. Then one of the following is true: * the smallest topology on X containing both T1 and T2 is the discrete topology. O T1UT2 is a topology on X but T1NT2 is not T1NT2 and T1UT2 are both topologies on T1NT2 and T1UT2 both cannot be topologies on X

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