Think of it as two ballots, one for the primary member, one for the associate member. Each of you can vote for up to any three candidates. You can each vote for the same, or different. The limitation just means that each of you cannot apply more than one of your votes to a candidate, for example three votes (or six) for Keith is not allowed, but one of your votes, and one of your associate members votes can be for Keith. You could stop there, or vote for one or two additional candidates.
For illustrative purposes only, this is not meant as an endorsement of a particular candidate, as all of our candidates are awesome