6

Part of 2011 Puerto Rico Team Selection Test

Problems(2)

Puerto Rico 2011 TST Problem 6

Source:

Two children take turns breaking chocolate bar that is 5*10 squares. They can only break the bar using the divisions between squares and can only do 1 break at a time.. The first player that when breaking the chocolate bar breaks off only a single square wins. Is there a winning strategy for any player?

combinatorics unsolvedcombinatorics

Puerto Rico IBERO TST Problem 6

Source:

Find all natural numbers such that each is equal to the sum of the factorials of its digits.
Please remember to hide your solution. (by using the hide tags of course.. I don't literally mean that you should hide it :ninja: )