5. You meet some fellow students in the cafeteria. They are asking other students if they play the piano, guitar, violin, or a combination of those three. You, being interested in the especially musically gifted, ask them how many students play all three of the instruments. They give you the following enigmatic answer: From all surveyed students 129 play the piano, 93 play the violin and 40 the guitar, there are 188 who play the piano or violin, 157 who play the piano or guitar, 123 who play the violin or guitar, and 212 who play the violin, guitar or piano. Please compose a Venn-diagram and find the answer to your own question.

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