How many subsets are there for the set {h, j}?

Find the indicated sets with A, B, and U defined below. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.) U = {1,2,3,4,5,6,7,8,9,10}A = {1,2,3,4,5}B = {4,5,6,7}C = {5,6,7,8,9,10} (a) A ∩ (B ∪ C)= {  }(b) A ∩ (BC ∪ C) = {  }

a. b. Suppose that the set A is such that P(A) = {0, {3}, {5}, {6}, {3,5}, {3, 6}, {5, 6}, {3, 5, 6}}. Express A using the roster method. Write the elements of A in increasing order, and do not include any spaces. Suppose that when the set B is removed from P({2, 4, 8, 9}), the following set is obtained as the result: {0, {2}, {4}, {8}, {9}, {2,4}, {2, 8}, {2,9}, {4, 8}, {4,9}, {8, 9}, {2, 4, 8}, {2, 4, 9}, {4, 8, 9}, {2, 4, 8, 9}}. Express B using the roster method. Write the elements of B in increasing order, and do not include any spaces.

Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in U?