Prove that `(AuuBuuC)nn(AnnB'nnC')'nnC'=BnnC'`

The set (AuuBuuC)nn(AnnB'nnC')' is equal to

The set (Auu BuuC)nn(AnnB'nnB')'nnC is equal to

Prove that A-B=AnnB^(c ) .

If A, B and C are three non-hempty sets such that any two of them are disjoint, then (AuuBuuC) nn(AnnBnnC)=

If A, B, C are three events associated with a random experiment prove that P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnC)-P(BnnC)+P(AnnBnnC)

If A and B are two sets then prove that (AuuB)'uu(A'nnB)=A'

If A, B are two sets, prove that AuuB=(A-B)uu(B-A)uu(AnnB) . Hence or otherwise prove that n(AuuB)=n(A)+n(B)-n(AnnB) where, n(A) denotes the number of elements in A.

If A, B and C are three sets such that A supB supC, then (AuuBuuC)-(AnnBnnC)=

For any sets A ,B ,C ,D prove that: (AxxB)nn(CxxD)=(AnnC)xx(BnnD)

Prove that AuuB=AnnB if and only if A=B