I'm having a lot of trouble making my answer look like the OA. Can someone help?
Here's the problem:
In how many different ways can 12 people be seated at two tables with one seating 7 and the other seating 5?
OA is 13,685,760, which, I think, comes from 12P5*4!*3!. Prime factorization of the OA yields 2^10*3^5*5*11, which I figured must look something like (12*11*10*9*8*4*4*3*3).
Anybody want to help me out with this problem?