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We give a family of solutions of Witten-Dijkgraaf-Verlinde-Verlinde equationsin $n$-dimensional space. It is defined in terms of $BC_{n}$ root system and$n+2$ independent multiplicity parameters. We also apply these solutions todefine some ${\mathcal N}=4$ supersymmetric mechanical systems.

Solutions of $BC_{n}$ Type of WDVV Equations