A group of students are comparing the classes which they are taking. There are 35 students studying American History, 20 students studying Chemistry, and 15 students studying Statistics. Four study all three subjects, while 20 students study only American History, nine students study only American History and Chemistry and five study only Statistics and Chemistry. How many students are in the group? (Please show your 'scratch work' neatly and explain what you are doing at each step.)

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.