Sum=Sum!

Find the number of ordered n-tuple of solutions (a1,a2,a3,...,an)(a_1, a_2, a_3, ..., a_n) of the equation a1+a2+a3+...+an=a1!+a2!+a3!+...+an!a_1+a_2+a_3+...+a_n=a_1!+a_2!+a_3!+...+a_n!

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