Which classes of algae possess pigment fucoxanthin and pigment phycoerythrin, respectively ?

The pigment fucoxanthin is characteristic of the class Phaeophyceae, which includes the brown algae. Fucoxanthin gives these algae their characteristic brown colour. On the other hand, the pigment
phycoerythrin is characteristic of the class Rhodophyceae, which includes the red algae. Phycoerythrin is responsible for the red colouration of these algae. 

(1) Though the pigment fucoxanthin is characteristic of the class Phaeophyceae, the pigments commonly found in Chlorophyceae, which is a class of green algae, include chlorophyll a, chlorophyll b and carotenoids. These pigments are responsible for capturing light energy during photosynthesis. 

(3) The pigments commonly found in Chlorophyceae, which is a class of green algae, include chlorophyll a, chlorophyll b and carotenoids, not fucoxanthin. 

(4) The pigment found in Rhodophyceae is phycoerythrin and that found in Phyeophyceae is fucoxanthin.