Original question: How many ways are there to arrange three indistinguishable rooks on a 6 × 6 board such that no two rooks are attacking each other? (Two rooks are attacking each other if and only if they are in the same row or the same column.)
Questions wanted answered: How many ways are there to arrange three indistinguishable bishops on a 6 × 6 board such that no two bishops are attacking each other? (Two bishops are attacking each other if and only if they are in the same diagonal.)
And
How many ways are there to arrange three indistinguishable queens on a 6 × 6 board such that no two queens are attacking each other? (Queens can attack each other in any way except for the knight or L shape)
PLEASE HELP I'VE BEEN STUMPED ON THE LAST TWO FOR A LONG TIME ALREADY
Questions wanted answered: How many ways are there to arrange three indistinguishable bishops on a 6 × 6 board such that no two bishops are attacking each other? (Two bishops are attacking each other if and only if they are in the same diagonal.)
And
How many ways are there to arrange three indistinguishable queens on a 6 × 6 board such that no two queens are attacking each other? (Queens can attack each other in any way except for the knight or L shape)
PLEASE HELP I'VE BEEN STUMPED ON THE LAST TWO FOR A LONG TIME ALREADY