Which of these populations could meet the criteria required for Hardy - Weinberg equilibrium?
Out of all the four cases presented above, in the first scenario, population size is larger than all the others. They are randomly mating and are confined to a place, where the factors that can bring change in the allele frequency like mutation, gene flow, genetic drift etc., are negligible. Hence, the allele frequencies of their gene pool is not expected to change thus keeping it in equilibrium.
In all other three conditions, populations are subjected to at least one condition which can disturb the allele frequency in a population. This may be either small population size, tendency migrate or selective mating.