Homework Help Overview
The discussion revolves around permutations, specifically calculating P(n,3) and P(5,r). The original poster presents two problems involving permutations and expresses uncertainty in solving a cubic equation and determining the value of r.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- The original poster attempts to solve P(n,3)=210 by forming a cubic equation but struggles with the solution. They also express confusion regarding P(5,r)=20. Some participants suggest trial and error as a method, while others inquire about solving cubic equations.
Discussion Status
Participants are exploring different methods to approach the problems, including trial and error and the use of formulas for cubic equations. There is a recognition of the relationship between n, n-1, and n-2 in the context of the first problem, and some guidance is provided regarding the second problem.
Contextual Notes
There is an implicit assumption that n must be a positive integer, and participants are considering the constraints of the permutation formulas. The original poster's uncertainty about cubic equations and the parameters for r in the second problem are noted.