I think it is important to consider lifestyle. Although I was good in math and took engineering because it was a no brainer and didn't conflict with cheerleading and social life, I never wanted to work as an engineer. I always wanted to fly around the world and make money. I ended up on Wall Street and by mid 20s was heading up automobile research at a global bank and flew around the world. I spent weeks in Europe flying from car factory to car factory and then weeks in Asia doing the same. Engineering would have had me design I beams for 10 years. My nephew is a mechanical engineer and loves it and loves his job. So how does your daughter want to live? That is my key question for the kid that has options.
Ren