Pascal's Rule/Mistake

Source Work

 * The Dictionary
 * $35$
 * $35$

Mistake

 * From the rule for constructing the triangle it follows that''
 * $\paren {\dfrac n m} + \paren {\dfrac n {m + 1} } = \paren {\dfrac {n + 1} {m + 1} }$

Correction
The notation is wrong.

It ought to be:


 * $\dbinom n m + \dbinom n {m + 1} = \dbinom {n + 1} {m + 1}$

This has been corrected in.