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Harpreet Singh Dhillon Grade: 11
        

in+how+many+ways+can+you+choose+3 small+squares+on+chess+board+so+that+none+of+them+are+in+same+row,+ column+or+diagonal+line+by+combinations+and+permutations

6 years ago

Answers : (2)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


In a square board there are 8 rows and 8 columns, now use the basic property of P and C



































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6 years ago
Sudheesh Singanamalla
114 Points
										

975_16302_chessboard.jpg


 


Total number of squares on a chessboard are 64 i.e 8*8


Number of ways we can choose 3 squares = 64C3


number of ways we can choose 3 squares so that they are in the same column is 8C3 * 8 * 3! =48 * 8C3


number of ways we can choose 3 squares in same row = 48 * 8C3


number of ways we can choose 3 squares in same diagonal = 8*8C3


so number of ways we can choose 3 squares so that they are not in the same row or column or diagnal is 64C3 - 48*8C3 - 48*8C3 - 8*8C3


 


 


please approve !

6 years ago
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