SOLUTION: A survey of 126 college students was taken to determine the musical styles they liked. Of those 39 students listened to rock, 42 to classical and 2 to jazz. Also 20 students listen

Question 990031: A survey of 126 college students was taken to determine the musical styles they liked. Of those 39 students listened to rock, 42 to classical and 2 to jazz. Also 20 students listened to rock and jazz,11 to rock and classical, and 21 to classical and jazz. Finally, 6 students listened to all musical styles. Construct a Venn Diagram and determine the cardinality for each region.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A survey of 126 college students was taken to determine the musical styles they liked. Of those 39 students listened to rock, 42 to classical and 2 to jazz. Also 20 students listened to rock and jazz,11 to rock and classical, and 21 to classical and jazz. Finally, 6 students listened to all musical styles. Construct a Venn Diagram and determine the cardinality for each region.
-------
Draw 3 intersecting circles inside a rectangle(126).
Label the circles rock(39), classical(42), jazz(2)
-----
There are 6 students in the intersection of all three circles.
Notice:: That means there are more than 2 in "jazz".
-----
Notice you already have 6 in the intersection of r/j, r/c, and c/j
Put 20-6 = 14 in the intersection of rock and jazz
Put 11-6 = 5 in the intersection of rock and classical
Put 21-6 = 15 in the intersection of classical and jazz
-------------
Put the correct numbers in the remaining sections
of r, c, and j
------------
Count the total number in r, in c, and in j
-------------
Cheers,
Stan H.
--------

RELATED QUESTIONS
A survey of 175 college students was taken to determine the musical styles they liked.... (answered by greenestamps)

A survey of 103 college student was taken to determine the musical... (answered by Alan3354)

One hundred students were asked about two kinds of music; jazz and classical. Sixty... (answered by vleith)

1. If n(A) = 8, then how many proper subsets does A have? 2. At a local college, a... (answered by Theo)

: A class was surveyed to find out what snacks the students liked. The results showed... (answered by addingup)

A class was surveyed to find out what snacks the students liked. The results showed that (answered by Edwin McCravy)

According to students survey, 23 students like history, 26 students liked English, 25... (answered by ikleyn)

According to a student survey, 16 students liked history, 19 liked English, 18 liked... (answered by rfer)

To help plan the number of meals to be prepared in a college cafeteria, a survey was... (answered by lynnlo)