Ten > Sets

Asked by Atith Adhikari · 2 years ago

If n(A) = 65, n(B) = 50, n(C) = 35, n(A $\rm \cap$ B) = 25, n(B $\rm \cap$ C) = 20, n(C $\rm \cap$ A) = 15, n(A $\rm \cap$ B $\rm \cap$ C) = 5, and n(U) = 100,

1. Are the sets A, B, and C overlapping sets? Give reason.
2. Find the value of $\rm n(A \cup B \cup C)$.
3. Find the value of $\rm n \overline{ A \cup B \cup C }$.
4. Show the given information in a Venn diagram.