Question: An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German and the classes are open to all

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German and the classes are open to all of students in the school. There are 28 students in the Spanish class, 26 in the French class and 16 in the German class. There are 12 students who are in both Spanish and French, 4 who are in both Spanish and German and 6 who are in both French and German. In addition, there are 2 students taking all three of the language classes. A student is now chosen at random and it is found that the probability that this student is taking none of the language classes is P 5/6. Determine the number of students in the elementary school

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