Question

she liked ice cream, but he liked cake. so they bought both. 3rd person omniscient 3rd person limited 3rd person objective 1st person

Explanation:

The sentence "She liked ice cream, but he liked cake. So they bought both." is written in the 3rd person objective point of view. In 3rd person objective, the narrator only reports what can be seen or heard without revealing the characters' thoughts or feelings. Here, we just see the actions (liked ice - cream, liked cake, bought both) without any internal thoughts of "she" or "he".

Answer:

3rd person objective