%This command provides the text for the formulae written in the second
%horizontal area of the second column.
%
%The command has one parameter:
%         1) The width of the text
\newcommand\TOneIdentitiesA[1]{%
     \parbox[t]{#1}{%
      \TOneFormulaeFontSize
      \begin{DisplayFormulae}{1}{0pt}{\TOneInterlineFormulaeA}{\BigChar}{\StyleBold}
         \Fm{\binom{n}{k} = \frac{n!}{(n-k)! k!}}
         \Fm{\sum_{k=0}^n \binom{n}{k} = 2^n}
         \Fm{\binom{n}{k} = \binom{n}{n-k}}
         \Fm{\binom{n}{k} = \frac{n}{k}\binom{n-1}{k-1}}
         \Fm{\binom{n}{k} = \binom{n-1}{k} + \binom{n-1}{k-1}}
         \Fm{\binom{n}{m}\binom{m}{k} = \binom{n}{k} \binom{n-k}{m-k}}
         \Fm{\sum_{k=0}^n \binom{r+k}{k} = \binom{r+n+1}{n}}
         \Fm{\sum_{k=0}^n \binom{k}{m} = \binom{n+1}{m+1}}
         \Fm{\sum_{k=0}^n \binom{r}{k}\binom{s}{n-k} = \binom{r+s}{n}}
         \Fm{\binom{n}{k} =  (-1)^k \binom{k-n-1}{k}}
         \Fm{\SousEnsemble{n}{1} = \SousEnsemble{n}{n} = 1}
         \Fm{\SousEnsemble{n}{2} = 2^{n-1}-1}
         \Fm{\SousEnsemble{n}{k} = k \SousEnsemble{n-1}{k} + \SousEnsemble{n-1}{k-1}}
         \Fm{\Cycle{n}{1} = (n-1)!}
         \Fm{\Cycle{n}{2} = (n-1)!H_{n-1}}
         \Fm{\Cycle{n}{n} = 1}
         \Fm{\Cycle{n}{k} \geq \SousEnsemble{n}{k}}
         \Fm{\Cycle{n}{k} = (n-1) \Cycle{n-1}{k} + \Cycle{n-1}{k-1}}
      \end{DisplayFormulae}
   }%
}

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