Card drawing

Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the first round?

Final Answer:

n =  10

Step-by-step explanation:

$$\begin{gathered} k=3\cdot (3-1)=6 \\ n=54/k+1=54/6+1=10 \end{gathered}$$

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