Newton's Beautiful Problem

Algebra Level 3

{x+y+z=6x2+y2+z2=12x3+y3+z3=24\large \begin {cases} x+y+z=6\\x^2+y^2+z^2=12\\x^3+y^3+z^3 = 24 \end {cases}

Find x!×y!×z!x! \times y! \times z!.

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