# Recursive function

Algebra Level 4

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

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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