Question

List all the subsets of the following sets. 

i) B = {p, q} 

ii) C = {x, y, z} 

iii) D = {a, b, c, d} 

iv) E = {1, 4, 9, 16} 

v) F = {10, 100, 1000}

Answer 1

i) Subsets of ‘B’ are {p}, {q}, {p, q}, φ 

ii) Subsets of ‘C’ are {x}, {y} {z}, {x, y}, {y, z}, {z, x}, {x, y, z} and φ (2 = 8) 

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

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

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