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Question and Answer

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

Answer

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, \({P}={Q}\).

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