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?
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.
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".
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.