Multiplying Gives the other number
Algebra
Level
2
I have three numbers, and the product of any two of the numbers is equal to the other remaining number: \[\begin{align} ab &= c \\ bc &= a \\ ca &= b. \end{align}\] Is it true that the three numbers must be either all 0s or all 1s?
by
Agnishom Chattopadhyay