How many undirected graphs (not necessarily connected) can be constructed out of a given set V={

Question

Accepted Answer

Step 1:u000ALetu0027s understand what weu0027re being asked. We need to count the number of undirected graph

How many undirected graphs (not necessarily connected) can be constructed out of a given set $V=\left\{v_1, v_2, \ldots v_n\right\}$ of $n$ vertices? A. $\mathrm{n}(\mathrm{n}-1) /$ B. $2^{\mathrm{n}}$ C. $n$ ! D. $2^{\mathrm{n}(\mathrm{n}-1) / 2}$