state gov UP Police Head Operator (Radio Cadre) Mock Test Quantitative Aptitude Algebra Identities

If x + y + z = 1, x2 + y2 + z2 = 2 and x3 + y3 + z3 = 3, then what is the value of xyz?

1
\(\frac{1}{3}\)
2
\(\frac{1}{6}\)
3
\(\frac{1}{2}\)
4
\(\frac{1}{4}\)
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