The major difference that matters between the intel core i3.5.7 will be the price. Depending on what your daughter intends on doing with it an i3 with about 4-8gb ram will see her through to the end. I bought a cheap acer about 3 years ago it's an i3 and have upgraded to 8gb ram and it's still going. I do all my documents and emails pictures music etc from it and it's fine. i5"s and i7's although the are quicker on paper you won't notice a difference on normal day to day stuff unless you are doing video editing or picture editing either of which you would be better off with a laptop that has dedicated graphics.
Hope this helps.
If I was buying anything under £350 will be adequate but it's not worth spending more than £400 if it's for basic uni work use.
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