Which Venn diagram represents the truth of the statement "All students are hard working."
Where $U$ = Universal set of human beings,$S$ = Set of all students,$H$ = Set of all hard workers.

Let $X = \{ \text{Ram, Geeta, Akbar} \}$ be the set of students of Class $XI$ who are in the school hockey team. Let $Y = \{ \text{Geeta, David, Ashok} \}$ be the set of students from Class $XI$ who are in the school football team. Find $X \cup Y$ and interpret the set.

If $A$ and $B$ are disjoint sets,then $n(A \cup B) = $

Show that for any sets $A$ and $B$,$A = (A \cap B) \cup (A - B)$ and $A \cup (B - A) = (A \cup B).$

If $A = \{1, 2, 3, 4\}$,$B = \{3, 4, 5, 6\}$,$C = \{5, 6, 7, 8\}$,and $D = \{7, 8, 9, 10\}$,find $A \cup B \cup C$.

If $A, B$,and $C$ are three sets,then $A - (B \cap C)$ is equal to