This problem has been in web2.0calc, but the problem is slightly different.
https://web2.0calc.com/questions/how-many-9-step-paths-are-there-from-nbsp-nbsp-to-nbsp-nbsp-which-pass-through-nbsp
You have to go 4 up and 5 across (in any order)
So I think it will just be 9!/(5!4! )= 126
Thank you so much it is right!!!
Attn: Sarajit
A question for you. If it was a 7 by 9 grid what would the answer be?
36
9 chose 7
Good to see that you are having a go but it is not correct.
Look at my first answer and try again.