The office of the President can be chosen in 36 different ways, and for
each of those ways, the office of the Vice President can be chosen from the 35
people left. So to answer this specific problem, there are 1260 different
ways those offices can be assigned. I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.
