Ten > Sets

Asked by Atith Adhikari · 2 years ago

A, B and C are the subsets of the universal set U. If n(U) = 100, n(A) = 60, n(B) = 45, n(C) = 30, n(A $\rm \cap$ B) = 25, n(B $\rm \cap$ C) = 20, n(C $\rm \cap$ A) = 15, n(A $\rm \cup$ B $\rm \cup$ C) = 85.

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.