Your little problem is some ignorance in mathematics. I'm going to fix it partly, right now!
First, please read this introductory article: http://en.wikipedia.org/wiki/Partially_ordered_set
Now, consider a set you might call "a set of possible career paths". Look at the axiom set to be met to satisfy a criteria for a set to be a partially ordered set
. Can you do it to your set of career paths? No. First criteria to challenge would be the lack of transitivity.
That should bring you to a comprehensive understanding of the questions which make no sense by its nature, such as "Which is best, a cat or a dog?". Knowing that, your selection of the carrier path is left for you for a home exercise.