The common solution set of the inequations $x^{2}-4 x \leq 12$ and $x^{2}-2 x \geq 15$ taken together is

The roots of the equation $x^{3}-3 x^{2}+3 x+7=0$ are $\alpha, \beta, \lambda$ and $\omega, \omega^{2}$ are complex cube roots of unity, If the terms containing $x^{2}$ and $x$ are missing in the transformed equation when each one of these roots is decreased by $h$, then $\frac{\alpha-h}{\beta-h}+\frac{\beta-h}{\gamma-h}+\frac{\gamma-h}{\alpha-h}=$

With respect to the roots of the equation $3 x^{3}+b x^{2}+b x+3=0$, match the items of List I with those fo List II

List I	List II
A All the roots are negative.	I. $(b-3)^2=36+P^2$ for $P \in R$
B Two roots are complex.	II. $-3<b<9$
C Two roots are positive.	III. $b \in(-\infty,-3) \cup(9, \infty)$
D All roots are real and	IV. $b=9$
	V. $b=-3$

The number of ways of arranging all the letters of the word 'COMBINATIONS' around a circle so that no two vowels together is