Question

Let X = {a, b, c, d} then one - one mapping f : X → X such that f(a) = a, f(b) ≠ b, f(d) ≠ d are given by

(i) {(a, a), (b, c), (c, d), (d, b)}

(ii) {(a, a), (b, d), (c, c), (d, b)}

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

(a) only (i) is true

(b) (i) & (ii) is true

(c) (i), (ii) and (iii) are true

(d) only (iii) is true

Answer 1

The correct option (c) (i), (ii) and (iii) are true

Explanation:

There ares three posibility

(i) (a, a), (b, c), (c, d), (d, b)

(ii) (a, a), (b, d), (c, c), (d, b)

(iii) (a, a), (b, d), (c, d), (d, c)