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Question -

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



Answer -

For “CATARACT”
Distinct letters are
{C, A, T, R} = {A, C, R, T}
For “TRACT”
Distinct letters 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 the two sets are equal.

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