Nick pose la question : There are 5 lily pads and 4 frogs, 2 Red and 2 Green, how many moves does it take for them to swap sides? Answer: 8
I have a formula which will tell you how many moves it will take with different total numbers of frogs, it is [(F*F)/4]+F Where F is the number of red frogs add the number of Green frogs. This formula only works with numbers of frogs that are the same on each side. What I would like to know is why this formula works and why you have to divide it by 4?
Penny Nom lui répond.
Centrale des maths reçoit une aide financière de l’Université de Regina et de The Pacific Institute for the Mathematical Sciences.