N Hamiltonian of a three level Ising model in the absence of any external field is as follows: H=-JSS. The spins on a one-dimensional lattice can take following values: 1=1 S₁ =1,0,-1 and J>0. Obtain the exact partition function Z(T,N) in terms of temperature and the number of sites. (a) 2e BJ +1 (b) eBJ+1+e-NBJ (c) 2sinh NBJ+1 (d) 2 cosh NẞJ+1