x$($n$)$ denotes a finite$-$duration sequence of Length N with x$($n$)=0$ for n $<0,$ and x$($n$)=0,$ n $>=$ N$.$

Do not assume that x$($n$)$ is real. From the list below choose the entry corresponding to the

number of distinct choices for x$($n$)$ if the magnitude of its Fourier transform is specified.

a$)1$

b$)$ N

c$)$ Log$2$ N

d$)2$N

e$)\backslash$infty

f$)$ N$2$

g$)$ N$($N$-1)$

h$)2$N$-1$

i$)$ N$($N$2)$

j$)$ log$2($N$-1)$

k$)$ NN

l$)$ N$!$

m$)($N$-1)!$