Let \(a, b, c\) be the roots of the polynomial \(P(x) = x^3 + px^2 + qx + r\) such that \(a+b+c = 6\), \(ab + bc + ca = 11\), and \(abc = 6\). Calculate \(P(2)\). Let's think step by step and output the final answer within \boxed{}.
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