The Supreme Court held that race can be used as a factor in college admissions but that quotas and "point" systems were unconstitutional in:

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In Gratz v. Bollinger and Grutter v. Bollinger, the Supreme Court ruled that race can be used as a factor in college admissions but that quotas and "point" systems were unconstitutional. The Court held that diversity is a compelling government interest that can justify the use of race in admissions, but race cannot be used as the sole determining factor. Both cases dealt specifically with the University of Michigan's affirmative action programs.

The Supreme Court Held That Race Can Be Used as a Factor