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Computer science is a pretty math intensive field as are most science majors so it really depends on how much you're willing to improve on your math.
I ****ing hate math but I still need to learn it for a biology major.
Chose whichever one you're most passionate about. Never just take the easier route.
Also I think business management is more about if you want to start your own business while business administration is about getting the proper leadership skills to direct people in an already established company. So its starting your own business VS becoming a business executive. At least thats what I think it is, just ask your adviser.
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Unfortunately there is no easier route, most of the available paths are as hard.
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Be careful doing a BTEC. Depending on the university you would like to go to, some places don't regard BTECs as high as an A Level, despite being worth the same points on UCAS.
I go to a university where Business Administration and Management are separate degrees yet share a lot of time together. You're better off looking up the syllabus' of each course and deciding which you would prefer.
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I believe all universities in the uk accept BTEC, or at least 90% do.
I'm probably going to stick to my current plan because I don't think there Is any better available option.