If one quarter of all the subsets containing three elements of the ...

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If one quarter of all the subsets containing three elements of the integers \( 1,2,3, \ldots ., \mathrm{m} \) contains the integer math xmlns=http://www.w3.org/1998/Math/MathMLmn5/mn/math, then \( \mathrm{m} \) is equal to
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