Final answer:
The student failed to recover transformed ES cells because the construct incorporated into the mouse DNA by either homologous recombination or illegitimate recombination.
Step-by-step explanation:
The correct statements for why the student failed to recover transformed ES cells are:
c. His construct incorporated into the mouse DNA by homologous recombination. These cells would be sensitive to ganciclovir, but resistant to neomycin, and would die.
f. His construct incorporated into the mouse DNA by illegitimate recombination. These cells would be resistant to neomycin, but sensitive to ganciclovir, and would die.
When the construct is incorporated into the mouse DNA by homologous recombination, the cells would be sensitive to ganciclovir, but resistant to neomycin, and would die. On the other hand, if the construct is incorporated by illegitimate recombination, the cells would be resistant to neomycin, but sensitive to ganciclovir, and would die.