The only reason 'take' sounds the least bit viable is that it is what I have learned in French. [Similar, I guess, to Swenglish.] I do not know any native English speakers who use 'take' in this case. One can, however, either make or take a choice.
Certainly which side of the Atlantic you're on makes a significant difference, but "take" also has the connotation that the decision has really been thought about and has an air of legitimacy and finality. For example, in my experience, "The man made the decision to buy two cauliflowers, instead of the usual one," but "the judicial conduct committee took the decision to ban the man from the city f