Guys if haven't masterized this topic U can try above questions, the 1 super epic question (our syllabus) I will send now...it's mind-blowing
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Guys U guys cann arrange only one way Kan for chess but I will change the rules and U should find the total possible combinations of chess boards
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1st rule the pawns should stay in it's original place, only the pieces in top row and bottom row can change..
2nd rule all black pieces(except pawns) should stay in uppermost row. White pieces (except pawns) should stay in bottom most row.
3rd rule both bishops can't be placed in a same colour square, so if U put 1 bishop in white squared tile, U should place another bishop in black square.
4th rule the king should be in between 2 rooks.
5th rule the arrangement of white and black should be mirrored, so if let's say white rook is placed in like 3rd column in uppermost row, then
Black rook should be placed in the 3rd column of lowermost row...
6th rule, all pieces must be placed in the board, and no pieces should be placed on 3rd to 6th row(black pawns in 2nd row and white pawns on 7th row is fixed)
2nd rule all black pieces(except pawns) should stay in uppermost row. White pieces (except pawns) should stay in bottom most row.
3rd rule both bishops can't be placed in a same colour square, so if U put 1 bishop in white squared tile, U should place another bishop in black square.
4th rule the king should be in between 2 rooks.
5th rule the arrangement of white and black should be mirrored, so if let's say white rook is placed in like 3rd column in uppermost row, then
Black rook should be placed in the 3rd column of lowermost row...
6th rule, all pieces must be placed in the board, and no pieces should be placed on 3rd to 6th row(black pawns in 2nd row and white pawns on 7th row is fixed)
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Forwarded from 5A TonyCWX
Each bishop can take one of four positions.
Queen can take one of six positions.
The two knights can assume five or four possible positions respectively.
This leaves three open squares which the king and rooks must occupy according to setup stipulations, without choice.
This means there are 4×4×6×5×4 = 1920 possible starting positions.
However, the two knights are indistinguishable during play (if swapped, there would be no difference)
So the number of distinguishable possible positions is half of 1920, or 1920/2 = 960.
Queen can take one of six positions.
The two knights can assume five or four possible positions respectively.
This leaves three open squares which the king and rooks must occupy according to setup stipulations, without choice.
This means there are 4×4×6×5×4 = 1920 possible starting positions.
However, the two knights are indistinguishable during play (if swapped, there would be no difference)
So the number of distinguishable possible positions is half of 1920, or 1920/2 = 960.
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