I cannot find any courses which offer a combination of Cantonese and business studies
But Is there any courses if I can’t find that, of Japanese and Business?
http://search.ucas.co.uk/cgi-bin/hsrun.hse/search/cs2002/StateId/ScOClcr7Lmdcwp-8sCw9eSK6VbhGA-Unxj/HAHTpage/cs2002.Hsindex10.run?s2=927&w2=Business+studies&t2=1&i=N&r=N&a=19
http://search.ucas.co.uk/cgi-bin/hsrun.hse/search/cs2002/StateId/ScOClcr7Lmdcwp-8sCw9eSK6VbhGA-Unxj/HAHTpage/cs2002.Hsindex10.run?s2=927&w2=Business+studies&t2=2&i=N&r=N&a=123
There is only 1 course offering Chines and buisness studies and two course offering Japanese and business studies in the UK (see above links), these are course that start in 2003 (though I’ve checked and the same courses are also starting in 2004).
Visit the UCAS website as it has a list of all UK courses which you can search.
Sussex uni runs an art/science scheme where the science students (not sure whether economics falls into this category) have to take a course in an arts subject, learning Japanese is one of these and is very popular. I would give the uni a ring first though.
And here I was, wondering if this thread was about unicorns or unicycles. 
Actually one thing I’d say is Japenese is very popular at all universities which can lead to oversubscription which means that the grade demands could be quite high, but the best thing to do is go through UCAS and find out.
There are two courses in Business and Japanese (UL and DCU) in Ireland and none in Business and Chinese. Many UK students study in Ireland. The website of the Central Applications Office is www.cao.ie.