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Sum=Sum!

Number Theory Level 3

Find the number of ordered n-tuple of solutions \((a_1, a_2, a_3, ..., a_n)\) of the equation \[a_1+a_2+a_3+...+a_n=a_1!+a_2!+a_3!+...+a_n!\]

\[3^n\] \[2^n\] 1 0

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