Which one of the following is correct? a)`Auu(B-C) =Ann(BnnC')` b) `A-(BuuC)=(AnnB')nnC'` c) `A-(BnnC)=(AnnB')nnC` d) `Ann(B-C) =(AnnB)nnC`

Let A={a,b,c,d},B={c,d,e} and C={d,e,f,g} . Then verify each of the following identities: (i) Axx(BnnC)=(AxxB)nn(AxxC) (ii) Axx(B-C)=(AxxB)-(AxxC) (iii) (AxxB)nn(BxxA)=(AnnB)xx(AnnB)

Which of the following statement is false: A-B=AnnB b. A-B=A-(AnnB) c. A-B=(AuuB)-B d. A-B=A-B '

If A and B are two non empty sets the prove the following1.n(AuuB)=n(A)+n(B)-n(AnnB) ." " 2. nAuuBuuC)=n(A)+n(B)+n(C)-n(AnnB)-n(BnnC)-n(Cnna)+n(AnnBnnC)

Let all letters of word 'MATHEMATICS' are arranged in all possible order. Three events A, B and C are defined as : (A)Both M are together (B) Both T are together (C)Both A are together which of the following hold(s) good? (a) P(A)=P(B)=2/(11) (b) P(AnnB)=P(BnnC)=P(CnnA)=2/(55) (c) P(AnnBnnC)=4/(495) (d) P((Ann B )"|" C )=(58)/(405)

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

If n(AnnB)=20 , n(AnnBnnC)=5 , then n(Ann(B-C)) is

If n(AnnB)=20 , n(AnnBnnC)=5 , then n(Ann(B-C)) is