Number of combinations of a 3 x 3 Sudoku

[Askalian]

Hello, there.

A Sudoku grid (9x9) is made of 9 grids of 3x3.

I would like to solve the number of possible combinations for 1 grid of 3 x 3 ?

And also of 2 grids of 3x3 ?

Thanks so much for the kind help...
Best
Askalian

 

[Dr.Peterson]

Hello, there.

A Sudoku grid (9x9) is made of 9 grids of 3x3.

I would like to solve the number of possible combinations for 1 grid of 3 x 3 ?

And also of 2 grids of 3x3 ?

Thanks so much for the kind help...
Best
Askalian

One 3x3 grid is just a permutation of the 9 digits.

Two 3x3 grids, if they are not in the same row or column, are just two independent permutations.

Are you asking about two that are next to one another? If so, then think about what is being permuted in each row of the second.

 

[Askalian]

One 3x3 grid is just a permutation of the 9 digits.

Two 3x3 grids, if they are not in the same row or column, are just two independent permutations.

Are you asking about two that are next to one another? If so, then think about what is being permuted in each row of the second.

Therefore : one 3 x 3 grid would be 9 ! and two 3 x 3 grids would be 9 ! x 9 ! ?

Thanks for the kind help.
All the best.
Frederic

 

[Dr.Peterson]

Therefore : one 3 x 3 grid would be 9 ! and two 3 x 3 grids would be 9 ! x 9 ! ?

Yes, IF the two grids don't interfere with one another.

 

[Askalian]

Therefore : one 3 x 3 grid would be 9 ! and two 3 x 3 grids would be 9 ! x 9 ! ?

Thanks for the kind help.
All the best.
Frederic

Thanks s

Yes, IF the two grids don't interfere with one another.

Thanks for the help. I was more or less sure of the calculation, but my memories of maths are distants and it was more secure to ask the question. All the best.
Frederic