The correct answer is Option (4) –The population is large and there is random mating

The principle stating that allele frequencies in a population remain stable and constant from generation to generation, under certain ideal conditions, is known as the Hardy-Weinberg principle.

This principle describes an idealized situation in which allele and genotype frequencies in a population remain constant from one generation to the next if certain assumptions, such as no mutation, no migration, random mating, large population size, and absence of natural selection, are met.

Therefore, among the options provided, the principle proposing stable allele frequencies in a population from generation to generation is known as the Hardy-Weinberg Principle.