If \( \alpha, \beta, \gamma \) are such that \( \alpha+\beta+\gamma...

If \( \alpha, \beta, \gamma \) are such that \( \alpha+\beta+\gamma=2, \alpha^{2}+\beta^{2}+\gamma^{2}= \) \( 6, \alpha^{3}+\beta^{3}+\gamma^{3}=8 \), then \( \alpha^{4}+\beta^{4}+\gamma^{4} \) is
(a) 5
(b) 18
(c) 12