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A survey of 126 college students was taken to determine the musical styles they liked. Of those, 42 students listened to rock, 47 to classical, and 54 to jazz. Also, 31 students listened to rock and jazz, 19 to rock and classical, and 27 to classical and jazz. Finally, 17 students listened to all 3 musical styles. Construct a venn diagram and determine the cardinality for each region. Use the complete venn diagram to answer the following questions. How many listened to only rock, how many listened to classical or jazz, but not rock, how many listened to classical and jazz but not rock, how many listened to music in exactly one style, how many listened to music in two styles, how many did not listen to any musical style?
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