Permutations

It is gr8 to see this problem.. and the fact that u want to discuss it :)

On the very onset let me say that these are not by far in JEE syllabus..

This problem has been solved by the help of computers.. and the number is apparently

6,670,903,752,021,072,936,960 = 2^15 * 3^8 * 5*7 * 27,704,267,971 = 9! * 72^2 * 2^7 * 27,704,267,971

If u need the reference read "http://www.sudoku.com/boards/viewtopic.php?t=44&start=135"

But i think you should rather do some more exciting problems... :)

not to say that this problem is any less exciting.. but it has used a lot of computers to reach a solution beyond a point :)