Find the error in the following reasoning: Consider

Chapter 9, Problem 9.209

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Find the error in the following reasoning: Consider forming a poker hand with two pairs as a ve-step process. Step 1: Choose the denomination of one of the pairs. Step 2: Choose the two cards of that denomination. Step 3: Choose the denomination of the other of the pairs. Step 4: Choose the two cards of that second denomination. Step 5: Choose the fth card from the remaining denominations. Thereare13 1waystoperformstep1,4 2waystoperform step 2,12 1ways to perform step 3,4 2ways to perform step4,and44 1waystoperformstep5.Therefore,thetotal number of ve-card poker hands with two pairs is 13612644=247,104.

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