From Nick: 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?

Answered by Penny Nom.

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