## Ridiculous Proof: The Alternating Binomial Sum Vanishes

Consider the good old Pascal's triangle: Except for the first row, take the alternating sum of the entries. So for the second row we have $ 1 – 1 = 0$. For the third row we have $ 1 – 3 + 3 – 1 = 0$. For the fourth row we have $ 1 […]