After trying question Exercise 8G question 14, have a look at the quotation from Wittgenstein’s Tractatus Logico-Philosophicus.
With regard to the existence of n atomic facts there are K_n=\sum_{r=0}^n \left(\begin{array}{c}n\\r\end{array}\right) possibilities.
Show that Wittgenstein could equally have written “…there are K_n=2^n possibilities.”