Chessboard piece placement

Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares.

Final Answer:

n =  29521920

Step-by-step explanation:

$$\begin{gathered} b=8\cdot 8/2=32 \\ n=b\cdot (b-1)\cdot b\cdot (b-1)\cdot (b-2)=32\cdot (32-1)\cdot 32\cdot (32-1)\cdot (32-2)=29521920 \end{gathered}$$

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