8 queen problem number of posibilities

Question

How many possibilities there for 8 queen problems

Answer 1

The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other. Thus, a solution requires that no two queens share the same row, column, or diagonal.

Answer 2

ya sure.

Answer 3

92 possibilities are there in 8 X 8

1 5 8 6 3 7 2 4
1 6 8 3 7 4 2 5
1 7 4 6 8 2 5 3
1 7 5 8 2 4 6 3
2 4 6 8 3 1 7 5
2 5 7 1 3 8 6 4
2 5 7 4 1 8 6 3
2 6 1 7 4 8 3 5
2 6 8 3 1 4 7 5
2 7 3 6 8 5 1 4
2 7 5 8 1 4 6 3
2 8 6 1 3 5 7 4
3 1 7 5 8 2 4 6
3 5 2 8 1 7 4 6
3 5 2 8 6 4 7 1
3 5 7 1 4 2 8 6
3 5 8 4 1 7 2 6
3 6 2 5 8 1 7 4
3 6 2 7 1 4 8 5
3 6 2 7 5 1 8 4
3 6 4 1 8 5 7 2
3 6 4 2 8 5 7 1
3 6 8 1 4 7 5 2
3 6 8 1 5 7 2 4
3 6 8 2 4 1 7 5
3 7 2 8 5 1 4 6
3 7 2 8 6 4 1 5
3 8 4 7 1 6 2 5
4 1 5 8 2 7 3 6
4 1 5 8 6 3 7 2
4 2 5 8 6 1 3 7
4 2 7 3 6 8 1 5
4 2 7 3 6 8 5 1
4 2 7 5 1 8 6 3
4 2 8 5 7 1 3 6
4 2 8 6 1 3 5 7
4 6 1 5 2 8 3 7
4 6 8 2 7 1 3 5
4 6 8 3 1 7 5 2
4 7 1 8 5 2 6 3
4 7 3 8 2 5 1 6
4 7 5 2 6 1 3 8
4 7 5 3 1 6 8 2
4 8 1 3 6 2 7 5
4 8 1 5 7 2 6 3
4 8 5 3 1 7 2 6
5 1 4 6 8 2 7 3
5 1 8 4 2 7 3 6
5 1 8 6 3 7 2 4
5 2 4 6 8 3 1 7
5 2 4 7 3 8 6 1
5 2 6 1 7 4 8 3
5 2 8 1 4 7 3 6
5 3 1 6 8 2 4 7
5 3 1 7 2 8 6 4
5 3 8 4 7 1 6 2
5 7 1 3 8 6 4 2
5 7 1 4 2 8 6 3
5 7 2 4 8 1 3 6
5 7 2 6 3 1 4 8
5 7 2 6 3 1 8 4
5 7 4 1 3 8 6 2
5 8 4 1 3 6 2 7
5 8 4 1 7 2 6 3
6 1 5 2 8 3 7 4
6 2 7 1 3 5 8 4
6 2 7 1 4 8 5 3
6 3 1 7 5 8 2 4
6 3 1 8 4 2 7 5
6 3 1 8 5 2 4 7
6 3 5 7 1 4 2 8
6 3 5 8 1 4 2 7
6 3 7 2 4 8 1 5
6 3 7 2 8 5 1 4
6 3 7 4 1 8 2 5
6 4 1 5 8 2 7 3
6 4 2 8 5 7 1 3
6 4 7 1 3 5 2 8
6 4 7 1 8 2 5 3
6 8 2 4 1 7 5 3
7 1 3 8 6 4 2 5
7 2 4 1 8 5 3 6
7 2 6 3 1 4 8 5
7 3 1 6 8 5 2 4
7 3 8 2 5 1 6 4
7 4 2 5 8 1 3 6
7 4 2 8 6 1 3 5
7 5 3 1 6 8 2 4
8 2 4 1 7 5 3 6
8 2 5 3 1 7 4 6
8 3 1 6 2 5 7 4
8 4 1 3 6 2 7 5

Answer 4

7 X 7 possibilities

1 3 5 7 2 4 6
1 4 7 3 6 2 5
1 5 2 6 3 7 4
1 6 4 2 7 5 3
2 4 1 7 5 3 6
2 4 6 1 3 5 7
2 5 1 4 7 3 6
2 5 3 1 7 4 6
2 5 7 4 1 3 6
2 6 3 7 4 1 5
2 7 5 3 1 6 4
3 1 6 2 5 7 4
3 1 6 4 2 7 5
3 5 7 2 4 6 1
3 6 2 5 1 4 7
3 7 2 4 6 1 5
3 7 4 1 5 2 6
4 1 3 6 2 7 5
4 1 5 2 6 3 7
4 2 7 5 3 1 6
4 6 1 3 5 7 2
4 7 3 6 2 5 1
4 7 5 2 6 1 3
5 1 4 7 3 6 2
5 1 6 4 2 7 3
5 2 6 3 7 4 1
5 3 1 6 4 2 7
5 7 2 4 6 1 3
5 7 2 6 3 1 4
6 1 3 5 7 2 4
6 2 5 1 4 7 3
6 3 1 4 7 5 2
6 3 5 7 1 4 2
6 3 7 4 1 5 2
6 4 2 7 5 3 1
6 4 7 1 3 5 2
7 2 4 6 1 3 5
7 3 6 2 5 1 4
7 4 1 5 2 6 3
7 5 3 1 6 4 2

Answer 5

6 X 6 queen possibilities

2 4 6 1 3 5
3 6 2 51 4
4 1 5 2 6 3
5 3 1 6 4 2

Answer 6

For 5 X 5

1 3 5 2 4
1 4 2 5 3
2 4 1 3 5
2 5 3 1 4
3 1 4 2 5
3 5 2 4 1
4 1 3 5 2
4 2 5 3 1
5 2 4 1 3
5 3 1 4 2

Answer 7

For 4 X 4

2 4 1 3
3 1 4 2