If \( a+b+c=5, a^{2}+b^{2}+c^{2}=12 \) and \( a^{3}+b^{3}+c^{3}=25 \). Then the value of \( a^{4...
If \( a+b+c=5, a^{2}+b^{2}+c^{2}=12 \) and \( a^{3}+b^{3}+c^{3}=25 \). Then the value of \( a^{4}+b^{4}+c^{4} \) is
(a) \( \frac{251}{6} \)
(b) \( \frac{253}{6} \)
(c) \( \frac{255}{6} \)
(d) \( \frac{257}{6} \)
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