The issue is the sample size calculation first. accordingly, one can determine the number of quesstionnairs. In addition, the data collection method has a significant effect on the sample size response rate; it if is mailed questionnaire, then the response rate will be around 25% to 50% maximum. so, you need to have 4 times number of quesstionnaires more than your needed sample. However, face to face interview with quesstionnaire, will guarantee that only needed quesstionnaire be printed equal to sample size. Good luck
I believe the basis as to how many questionnaires must be employed in survey and case study depend on the research question you have in mind. Often time, while you want to have a single questionnaire, there are instances where separate questionnaires are needed to gather a particular data to answer a specific research problem. Questionnaires may be developed by the researchers, and/or adapted from previous studies. It would be good to survey a literature related to your study, this may help you identify even the questionnaire you need not only the number of questionnaire. Good luck!
A questionnaire is a series of written questions on a subjects, requesting response, either self-administered or facilitated for participants to fill their responses. Normally a questionnaire design is unique to the project. Therefore a case research survey may have its own customized data collection format (questionnaire). The increase in the number of questions may be for fool-proofing - misunderstanding / lies. Care should be ensured that it does dis-interest the respondent as well.
So, the number of questions in a questionnaire matters for detailing a search but not the number of questionnaires referred.
For survey questionnaire (in quantitative research) that you intend to adopt / adapt from other precedence / sources, you need to perform thorough literature review on those sources' questionnaire (which come with certain no. of questions) & adopt / adapt accordingly in your research. Once adopted / adapted for your research, you need to perform a pilot study & assess their Cronbach Alpha / Composite Reliability.
If you intend to develop your own survey questionnaire (in quantitative research) due to no precedent questionnaire, you also need to do detailed literature to justify those questionnaire you asked. Determine whether formative / reflective questions to be used. Then you need to perform Exploratory Factor Analysis to check those factors in line with your construct's operational definition. Meaning no. of questionnaires dependent on your research objective, research question(s), research model's constructs' operational definition and detailed literature review.
For case study questionnaire (in qualitative research), your no. of questions depend on how detailed you need to perform data collection / interview. You should ask as many questions as possible until data collected is reached saturation (no more new discovery from interview / data collection).