Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\{0,1,2,3,4,5,6,7,8,9,10\}$
$A \subset\{0,1,2,3,4,5,6,7,8,9,10\}$
$B \subset\{0,1,2,3,4,5,6,7,8,9,10\}$
$C \subset\{0,1,2,3,4,5,6,7,8,9,10\}$
Therefore, the set $\{0,1,2,3,4,5,6,7,8,9,10\}$ is the universal set for the sets $A , B ,$ and $C.$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\varnothing \in A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ \{ 3,4\} \} \subset A$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $B \subset C,$ then $A \subset C$
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is