Show that `A nnB = A nnB`implies `A = B`

Show that A nnB = A uuB implies A = B

Show that A nnB = A nnC need not imply B = C .

Using properties of sets, show that(i) A uu( A nnB) = A (ii) A nn(Auu B) =A .

Show that for any sets A and B, A = (A nnB) uu(A- B ) and A uu(B - A) = (A uuB)

For any sets A and B. show that P(A nnB) = P(A)nn P(B)dot

Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty sets and A nnB nnC=varphi .

Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty sets and A nnB nnC=varphi .

If A and B are two sets such that n(A)=7, n(B)=6and (A nnB)ne phi Then the greatest possible value of n (A Delta B) is

If A and B ar two events such that P(A uuB) =(5)/(6) ,P(A nnB) =(1)/(3) and P(bar(B) =(1)/(2)) then the events A and B are