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## QuestionMathsClass 11

Show that the set of letters needed to spell “CATARACT” and the set of letters needed to spell “TRACT” are equal.

Let Set $${P}$$ is the set of letters needed to spell $$\text{CATARACT}$$. Then,

$${P}={\left\lbrace{C},{A},{T},{R}\right\rbrace}$$

Let Set $${Q}$$ is the set of letters needed to spell $$\text{TRACT}$$. Then,

$${Q}={\left\lbrace{T},{R},{A},{C}\right\rbrace}$$

As both sets $${P}$$ and $${Q}$$ are having same elements, it means, $${P}={Q}$$.