Does anyone know whether it is possible to simplify a factorial as follows:
= (n-m)! / ((i-m)!(n-m-i-m)!)
no, what ive been asked is to derive a closed formed expression for
(a) s = for n= 0,1,2,....
(b) t = for n=0,1,2, .. and m = 0,1,2,...n
ive done the first part and showed that its equal to 1 when n = 0 and 0 when n not equal to 0. for the second part ive been given a hint that
and to use this and part a to find a closed form expression for (b). i get the part a and the hint but i just dont see how to go from there to solving part b.