Please! Somebody! Help Me!!

Campbell Music Academy held workshops on classical music composers Mozart, Vivaldi, and Haydn. The Venn Diagram shows the number of seniors who chose to attend workshops on each of the three composers.

IMAGE LINK: https://www.connexus.com/content/media/308520-6282011-122619-PM-540601033/res0064/05_13_76.jpg

If the total number of seniors in the academy is 64, what is the total number of students who belong to the set V ∩ (~H ∩ ~ M)?

A. 45
B. 33
C. 19
D. 15

I don't remember what the ~ represents? Can someone please help me?

Question

Please! Somebody! Help Me!!

Campbell Music Academy held workshops on classical music composers Mozart, Vivaldi, and Haydn. The Venn Diagram shows the number of seniors who chose to attend workshops on each of the three composers.

IMAGE LINK: https://www.connexus.com/content/media/308520-6282011-122619-PM-540601033/res0064/05_13_76.jpg

If the total number of seniors in the academy is 64, what is the total number of students who belong to the set V ∩ (~H ∩ ~ M)?

A. 45
B. 33
C. 19
D. 15

I don't remember what the ~ represents? Can someone please help me?

anonymous · Answer

i think in this case ~H means H compliment, everything not in H

anonymous · Answer

so it would be B?

anonymous · Answer

|dw:1326915698672:dw|

anonymous · Answer

Wait, its asking for  V ∩ (~H ∩ ~ M). so I'm trying to find the intersection of V ∩ and the the compliment of H and the intersection of that and then the compliment of M? that's seems complicated!! lol :)

anonymous · Answer

first one is ~H
second one is ~M
third one is what you are looking for
in english, "in V and not in H and not in M"

anonymous · Answer

so 15

anonymous · Answer

ooooo okay... I see now. Wow, I need to do more studying! lol :) Thank you!!

anonymous · Answer

btw the parentheses are unnecessary in this problem.
have fun