If A = {a,b}, find the power set of `A xxA`

Find the power set of set A = { 1,2,3}

If U = { a, b, c, d, e, f, g, h}, find the complements of the following set : A = {a, b, c}

If U = { a, b, c, d, e, f, g, h}, find the complements of the following set : C = {a, c, e, g}

If U = { a, b, c, d, e, f, g, h}, find the complements of the following set : D = {f, g, h, a}

If U = { a, b, c, d, e, f, g, h}, find the complements of the following set : B={d, e, f, g}

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A xx B) .

The number of elements of the power set of a set containing n elements is

Let A be a non-empty set and '*' be a binary operation on P(A), the power set of A, defind by X*Y = X uu Y for all X, Y in P(A) find the identity element w.r.t. '*'

Write the set of the letter of the word 'ALLAHABAD'. Also find the number of subsets of this set.