Ten > Sets

Asked by Atith Adhikari · 2 years ago

If n(X) = 48, n(Y) = 51, n(Z) = 40, n(X $\rm \cap$ Y) = 11, n(Y $\rm \cap$ Z) = 10, n(Z $\rm \cap$ X) = 9, n(X $\rm \cap$ Y $\rm \cap$ Z) = 4 and $\rm n( \overline{X \cup Y \cup Z } )$ = 7, then

1. Find the value of $\rm n(X \cup Y \cup Z)$.
2. Find the value of n(U).
3. Show the information in a Venn diagram.
4. Find the cardinality of a set that is formed by the elements that are exactly in two of the sets X, Y, and Z.