6. Mike, Claire, Raul and Anna are enrolled in the same school. One student is a math major; one is a chemistry major; one is a physics major and one a biology major. From the following clues, determine which major each student is pursuing. (i) Mike and the math major are next-door neighbors. (ii) Claire and the chemistry major have been in the school for 2 years. Raul has had been in the school for 3 years and the biology major had been in the school for 4 years. (iii) Anna had been in the school for fewer years than Mike. (iv) The physics major had been in the school for 2 years.