Which Is Larger?

Let

  • \( \rho \) = number of ways you can arrange the 6 letters of \(R\) , 5 letters of \(G \) , 4 letters of \( J\) , 3 letters of \( M \) and 2 letters of \( K \) to create a single word.

  • \( \mu \) = number of ways you can arrange the 4 letters of \(R \) , 3 letters of \(G \) , 4 letters of \( J\) , 3 letters of \( M \) , 2 letters of \( K \) , 1 letter of\( A \) and 1 letter of \(B \) to create a single word.

Relate \( \rho \) and \( \mu \) .


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