Question 44
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In how many ways can 3 identical rooks be placed on a chessboard so that no two share a row or column?
- A 3,136
- B 336
- C 18,816 Correct
- D 56
Correct Answer: Option C
Choose 3 rows and 3 columns: 8C3 × 8C3 = 56 × 56
Match rows to columns: 3! = 6
56 × 56 × 6 = 18,816
Answer: 18,816
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