Pascal's Rule/Mistake/Second Edition
Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $35$
Mistake
- From the rule for constructing the triangle it follows that
- $\dbinom n m \ \ \dbinom n {m + 1} \ \ \dbinom {n + 1} {m + 1}$
Correction
The operators have been omitted.
It ought to be:
- $\dbinom n m + \dbinom n {m + 1} = \dbinom {n + 1} {m + 1}$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $35$