Ten > Sets

Asked by Atith Adhikari · 1 year ago

Sets A, B, and C are the subsets of the universal set U. If n(U) = 300, n(A) = 100, n(B) = 90, n(C) = 110, n(A$\rm \cap$B) = 60, n(B$\rm \cap$C) = 40, n(C$\rm \cap$A) = 45, and n(A $\rm \cup$ B $\rm \cup$ C) = 200.

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