45. fora groupg, let f(g) denote the collection of all subgroups ofg. which one of the following situations can occur? (a) gis finite but f(g) is infinite (c) g

45. Fora groupG, let F(G) denote the collection of all subgroups ofG. Which one of the following situations can occur? (a) Gis finite but F(G) is infinite (c) Gis countable but F(G)is uncountable(d) Gis uncountable but F(G) is countable ITIFR-2015] (b) Gis infinite but F(G) is finite