Ten > Sets

Asked by Atith Adhikari · 2 years ago

If n(A) = 48, n(B) = 51, n(C) = 40, n(A $\rm \cap$ B) = 11, n(B $\rm \cap$ C) = 10, n(C $\rm \cap$ A) = 9, n(A $\rm \cap$ B $\rm \cap$ C) = 4 and n(U) = 120,

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