Typically, when you choose a General Elective (GE) course like History alongside your BA Hons in Political Science, you won't automatically receive a minor degree completion certificate in History.

However, some universities offer a *Minor* or *Diploma* program in the elective subject, provided you complete a specific set of courses or credits in that subject.

To confirm whether you'll receive a minor degree completion certificate in History, I recommend checking with your:

1. University's regulations: Review your university's rules and regulations regarding minor degrees or diplomas.

2. Department of Political Science: Reach out to your department's administration or academic advisor to inquire about the possibility of receiving a minor degree completion certificate in History.

3. History Department: You can also contact the History Department to see if they offer a minor program and what the requirements are.

Keep in mind that the specific requirements and availability of minor degree programs vary across universities.

Whether you get a Minor Degree Completion Certificate in History while doing B.A. (Hons.) in Political Science depends on your university's rules. Generally, a minor degree requires completing a set number of credits beyond just choosing it as a General Elective. Check your university's academic policy for confirmation.