You did not mention whether you are studying Commerce with Math. If you do not have Math it will be difficult to be admitted in Computer Science. Furthermore, even selective liberal arts colleges, such as Wesleyan in Connecticut ~14% admit rate), report that 85% of admitted applicants (in all majors) have studied Bio, Chem and Physics. So while science isn't required in all four years of high school, limited exposure to the sciences may impact your chances at the most selective universities.
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