64 students in a **classical music lecture class** were polled

with the results that

37 like Wolfgang Amadeus Mozart,

36 like Ludwig von Beethoven,

30 like Franz Joseph Haydn,

14 like Mozart and Beethoven,

21 like Mozart and Haydn,

14 like Beethoven and Haydn, and

8 like all three composers

Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of students that like Haydn.

Venn Diagram.

I like examples because examples have me understand better such as

**25 + 16 = 41**

**41 - 32 =9**

**A = 25 - 9 = 16**

**B = 16 - 9 = 7**

**U = 13 - 7 = 6**

**or examples: **

**(a) 8 Juniors **

**(b) 8 seniors**

**(c) 8 seniors + 12 = 20 **

**(d) guards or centers **

**8 + 3 + 4 + 4 + 1 = 16 **

**(e) seniors who are not center or college students who are not guards**

**4 + 8 + 9 + 1 = 22**

**(f) junior high seniors who are are not centers **

**8 + 5 = 13 **

Guest Sep 10, 2017

#1**+1 **

**help trying to figure out what to substract/add**

**64 students in a classical music lecture class were polled**

**with the results that**

**37 like Wolfgang Amadeus Mozart,**

**36 like Ludwig von Beethoven,**

**30 like Franz Joseph Haydn,**

**14 like Mozart and Beethoven,**

**21 like Mozart and Haydn,**

**14 like Beethoven and Haydn, and**

**8 like all three composers**

heureka
Sep 11, 2017

#1**+1 **

Best Answer

**help trying to figure out what to substract/add**

**64 students in a classical music lecture class were polled**

**with the results that**

**37 like Wolfgang Amadeus Mozart,**

**36 like Ludwig von Beethoven,**

**30 like Franz Joseph Haydn,**

**14 like Mozart and Beethoven,**

**21 like Mozart and Haydn,**

**14 like Beethoven and Haydn, and**

**8 like all three composers**

heureka
Sep 11, 2017