# Three colors

Discrete Mathematics Level pending

Three circles arranged in a row, start in the order $$\color{red}red \color{Black}\to \color{Green} green \color{Black} \to \color{Blue} blue$$.

Every move, two circles are randomly switched.

What is the expected number of moves before the circles are in the order $$\color{Blue} blue \color{Black} \to \color{Green} green \color{Black} \to \color{Red} red$$.

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