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The multinomial coefficient and their recurrence relations from thegeneralized quantum deformed algebras are examined. Moreover, the$\mathcal{R}(p,q)-$ deformed multinomial probability distribution and thenegative $\mathcal{R}(p,q)-$ deformed multinomial probability distribution areconstructed. The recurrence relations are also determined. Particular cases ofour results corresponding to the quantum algebras in the literature are deducedfrom the general formalism.

Multinomial probability distribution and quantum deformed algebras