# Chorus Students

• Jan 22nd 2007, 04:02 PM
symmetry
Chorus Students
In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
• Jan 22nd 2007, 09:09 PM
CaptainBlack
Quote:

Originally Posted by symmetry
In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?

18-2 take chrous only
26-2 take band only
2 take band and chorus

so (18-2)+(26-2)+2=42 take something, and so 8 take neither.

RonL
• Jan 23rd 2007, 02:28 AM
symmetry
ok
Can this question be solved using the concept of venn diagram math?
• Jan 23rd 2007, 02:30 AM
AfterShock
Quote:

Originally Posted by symmetry
Can this question be solved using the concept of venn diagram math?

Yes; venn diagrams are often used for questions of this type. Venn diagrams are especially useful later in discrete math where you want to avoid "double counting".
• Jan 23rd 2007, 02:43 AM
CaptainBlack
Quote:

Originally Posted by AfterShock
Yes; venn diagrams are often used for questions of this type. Venn diagrams are especially useful later in discrete math where you want to avoid "double counting".

But the Venn diagram is only serving as a tool to make sure that you have included/excluded
all the possibilities.

Also the inclusion exclusion method is applicable.

RonL