Final answer:
A partial diploid will make permease when lactose is present to induce the operon responsible for permease production and when glucose is not present to avoid catabolite repression.
Step-by-step explanation:
To determine under what conditions the partial diploid will make permease, we need to understand the regulatory mechanisms controlling enzyme production in the bacteria.
The lactose operon in E. coli, which includes genes for B-galactosidase, permease, and transacetylase, is regulated by the presence or absence of lactose.
The operon is typically turned off when glucose is present and lactose is absent.
Permease is produced when the operon is active, which occurs in the presence of lactose (as the inducer) and the absence of glucose (which causes catabolite repression).
According to given information, we have various mutants, one of which makes permease but not B-galactosidase, another makes B-galactosidase but not permease.