Answer: Latent function
Explanation:
Latent function of school or education system is defined as the process in which school children and adults tend to interact and communicate with each other,following regulation ,going to institute and school etc are performed without the instruction and control of anyone .These functions are usually unintentional .
According to the question, public schools that provide the benefit or offer for building relationship,interaction of children with their mates etc are latent function of those public school.