A survey of 80college students was taken to determine the musical styles they liked. Ofthose,31students listened torock,31toclassical, and 29to jazz.Also,16students listened to rock andjazz,15to rock andclassical, and 14to classical and jazz.Finally,99students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.

-how many listened to only rock music? how many listened to classical and jazz, but not rock? how many listened to classical or jazz, but not rock? how many listened to music in exactly one of the musical styles? how many listened to music in exactly tow of the musical styles? how many did not listen to any of the musical styles?