# If for $\; n \geq 1\;,P_{n} = \int_{1}^{e} (log x)^{n} dx\;$ , then $\;P_{10} - 90 P_{8}\;$ is equal to :

$(a)\;-9\qquad(b)\;10e\qquad(c)\;-9e\qquad(d)\;10$