If $\alpha, \beta, \gamma$ are the roots of the equation,

$$ \begin{aligned} & x^3+a x^2+b x+c=0, \text { then }(\alpha+\beta-2 \gamma) \\ & (\beta+\gamma-2 \alpha)(\gamma+\alpha-2 \beta)= \end{aligned} $$

If the sum of two roots of the equation $x^4+2 x^3-7 x^2-8 x+12=0$ is zero, then the sum of the squares of the other two roots is

If 3 sisters and 8 brothers are together playing a game, then the number of ways in which all the sisters and brothers are to be seated around a circle such that all the three sisters are not seated together is

Out of 8 students in a classroom, 4 of them are chosen and they are arranged around a table.

If the remaining 4 are arranged in a row, then the total number of arrangements that can be made with those 8 students is