Subset

Find the subsets of the following sets.

(i) {a},

(ii) {a, b},

(iii) {a, b, c},

(iv) {p, q},

(v) {p, q, r},

(vi) {1,},

(vii) {1, 2, },

(viii) {1, 2, 3},

(ix) {1, 2, 3, 4},

Answer: (i) {a}, ∅

(ii) {a}, {b}, {a, b}, ∅

(iii) {a} , {b}, {c}, {a, b}, {b, c}, {a, c},{a, b, c}, ∅

(iv) {p}, {q}, {p, q}, ∅

(v) {p}, {q}, {r}, {p, q}, {p, r}, {q, r}, {p, q, r}, ∅

(vi) {1,}, ∅

(vii) {1,}, {2,}, {1, 2}, ∅

(viii) {1,}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}, ∅

(ix){1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {1, 2, 3}, {1, 3, 4}, {2, 3, 4}, {1, 2, 4}, {2, 3}, {3, 4}, {2, 4}, {1, 2, 3, 4}, ∅