how many undirected graphs (not necessarily connected) can be constructed out of a given $$\,\,\,\,V = \left\{ {{v_1},\,\,{v_2},\,....,\,\,{v_n}} \right\}$$ of $$n$$ vertices?

The value of the integral is $${\rm I} = \int\limits_0^{{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 4$}}} {{{\cos }^2}x\,dx} $$

A processor needs software interrupt to

Consider a set of $$n$$ tasks with known runtimes $${r_1},{r_2},.....\,{r_n}\,\,$$ to be run on a uniprocessor machine. Which of the following processor scheduling algorithms will result in the maximum throughput?.