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

For “CATRACTR”


Letters in word are


{C, A, T, R} ={A, C, R, T}


For “TRACT”


Letters in word are


{T, R, A, C} = {A, C, R, T}


As we see letters need to spell cataract is equal to set of letters need to spell tract.


Hence Proved.


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