The options that apply regarding how the Qing gained the acceptance of the Chinese people are:
C) bringing Chinese people into the imperial administration.
The Qing dynasty implemented a system that allowed many Han Chinese to participate in governance, which helped to legitimize their rule in the eyes of the Chinese populace.
While there were efforts to integrate Chinese into the military and prevent urban decline, the most significant factor was the inclusion of Chinese in the administrative framework, making option C the most relevant in terms of acceptance.
Options A, B, and D are not as straightforward or historically accurate in the context of how the Qing gained acceptance compared to option C.