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

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

































Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.
All the best.
Win exciting gifts by                                                                                                                                                          answering         the                     questions       on                                 Discussion                          Forum.        So                     help                                  discuss                       any                                  query         on                                 askiitians               forum        and                          become       an                    Elite                                    Expert               League                                            askiitian.
Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..
 
Askiitians Expert
Sagar Singh
B.Tech, IIT Delhi

































						

							

 
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 !