Four Equations in Four Unknowns

Algebra Level 2

$\begin{aligned} x + y + z + w &= 10 \\ x^2 + y^2 + z^2 + w^2 &= 30 \\ x^3 + y^3 + z^3 + w^3 &= 100\\ xyzw &= 24 \end{aligned}$

What is a solution of the system of equations above?

{9, 8, 7, 6} {1, 1, 2, 6} {1, 1, 1, 7} {2, 2, 3, 3} {1, 2, 3, 4} {8, 3, 1, 1}