11 HL The Binomial Theorem and Philosophy

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.”

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