(Q11).List all the subsets of the following sets.

(i) B = {p, q}

Subsets of ‘B’ are {}, {}, {, }, φ

(ii) C = {x, y, z}

Subsets of ‘C’ are {}, {y} {z}, {, y}, {y, z}, {z, }, {x, y, z} and φ (23 = 8)

(iii) D = {a, b, c, d}

Subsets of ‘D’ are {a}, {b}, {c}, {d}, {a,}, {b,c}, {, d}, {a, c}, {, d}, {b, d}, {a, b, c}, {b, c, d}, {a, , d}, {a, c, d}, {a, b, c, } and φ

(iv) E = {1, 4, 9, 16}

Subsets of ‘E’ are φ, {1}, {4}, {}, {16}, {1,}, {1,9}, {1, 16}, {, 9}, {4, 16}, {9, 16}, {, 4, 9}, {1, 9, 16}, {4, 9, 16}, {1, 4, 16}, {1, 4, , 16}

(v) F = {10, 100, 1000}

Subsets of ‘F’ are φ, {10}, {100}, {}, {10, 100}, {, 1000}, {10, 1000}, {, 100, 1000}.