\(n\Delta m= \left\{ \begin{array}{ll} 1 & n=m \\ (n-1)\Delta m+n\Delta (m+1) & n>m \\ 0 & \text{ otherwise} \\ \end{array} \right. \)

We define the \(\Delta\) operator when applied to two positive integers \(m,n\) as shown above. What is the value of \(32\Delta11\)?

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