In how many ways can four distingui...
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In how many ways can four distinguishable pieces be placed on an 8 x 8 chessboard so that no two pieces are in the same row or column?

JEE/Engineering Exams
Maths
Solution
168
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the 1 st piece can be placed in 64 ways, but 1 row & 1 column get eliminated so the next piece can only be placed in 49 ways, & so on [ 8^{2} times 7^{2} times 6^{2} times 4^{2}=(8 mathrm{P} 4)^{2}=(8 ! / 4 !)^{2}< ]
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