[" If "a,b in P" and "a*,b in P," then "P" is "],[" under the operation "]

Let 'X' be a non-empty set. P (X) be its power set. Let '*' be an operation defined on elements of P (X) by : A ** B = A nn B AA A, B in P (X) . Then: Prove that '*' is a binary operation on P (X)

Let X be a non-empty set. P(X) be its power set. Let * be an operation defined on elements of P(X) by A * B = A cup B forall AB in P(X) . Then prove that * is a binary operation.

Let P be the set of all subsets of a given set X. Show that uu: P xx P->P given by (A , B) ->Auu B and nn: PxxP ->P given by (A , B)->AnnB are binary operations on the set P.

Let P be the set of all subsets of a given set X. Show that uu:" "P" "xx" "P->P given by (A ," "B) ->Auu B and nn:" "PxxP ->P given by (A ," "B)->AnnB are binary operations on the set P.

Let P be the set of people of different age groups associated with 'CLEANLINESS' drive, Let '*' be a binary operation of the set P defined by a*b = Younger of (a,b), a,b in P, Is '*' commutative associative in P? Are you a part of set P?

Let P be the set of all subsets of a given set X. Show that uu:P xx P to P given by (A,B) to A uuB and nn:PxxP to P given by (A,B) to A nnB are binary operations on the set P.

Let P be the set of all subsets of a given set X. Show that uu:P xx P to P given by (A,B) to A uuB and nn:PxxP to P given by (A,B) to A nnB are binary operations on the set P.

Let P be the set of all subsets of a given set X. Show that uu:P xx P to P given by (A,B) to A uuB and nn:PxxP to P given by (A,B) to A nnB are binary operations on the set P.

If P(A | B) = a and P(B) = b, then express P(B - A) in terms of a and b.