S=(0,1)∪(1,2)∪(3,4)‌ and ‌T={0,1,2,3} Let domain and co-domain of a function y=f(x) are S and T respectively. (A) There are infinitely many elements in domain and four elements in co-domain. ⇒ There are infinitely many functions from S to T. ⇒ Option (A) is correct (B) If number of elements in domain is greater than number of elements in co-domain, then number of strictly increasing function is zero. ⇒ Option (B) is incorrect (C) Maximum number of continuous functions =4×4×4=64 (Every subset (0,1),(1,2),(3,4) has four choices) ∵‌‌64<120⇒ option (C) is correct. (D) For every point at which f(x) is continuous, f(x)=0 ⇒‌‌ Every continuous function from S to T is differentiable.