Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.
Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.
Let $X$ be the set of letters in $"CATARACT".$ Then
$X=\{ C , A , T , R \}$
Let $Y$ be the set of letters in $"TRACT".$ Then
$Y=\{T, R, A, C, T\}=\{T, R, A, C\}$
Since every element in $X$ is in $Y$ and every element in $Y$ is in $X$. It follows that $X = Y$.
Similar Questions
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 $C$
$\{ 1,2,3,4,5,6,7,8\} $
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 $C$
$\{ 1,2,3,4,5,6,7,8\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is odd $\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is odd $\} $
State whether each of the following set is finite or infinite :
The set of lines which are parallel to the $x\,-$ axis
State whether each of the following set is finite or infinite :
The set of lines which are parallel to the $x\,-$ axis
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,5\}\subset A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{1,2,5\}\subset A$
Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{ x:x$ is a triangle in a plane $\} \ldots \{ x:x$ is a rectangle in the plane $\} $
Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{ x:x$ is a triangle in a plane $\} \ldots \{ x:x$ is a rectangle in the plane $\} $