There are certain things that you should always keep in mind about the “Limit to 1 response” setting of Google Forms. It limits responses to one per user. Further, you can't restrict the total number of responses to your survey. There is no such feature available to set activation and expiration date on the form.

How many responses can a Google Form take?

So if you have 1 question on your form you can have 5 million responses... 2 questions= 2.5 million responses...etc.) 5,000,000 cells in a spreadsheet.

How do I count responses in Google Forms?

Hover over the square in the bottom right corner of your formula cell until a cross + appears. Then click down and drag the cross down as many cells as there are responses, and the formulas will pre-populate and count the Google Forms responses for you.