الخلاصة

In [5] the authors introduced the  Markov basis  = {,  ,…,    } and toric ideal for2   × 2 ×  -contingency table with fixed two dimensional marginal when is an even number greater than or equal 4. In this paper we find the expansion of markov basisIn this paper we will find the expansion of markov basis ↑ = { ↑ ,  ↑,  ↑,…,    ↑ } and Toric Ideal for 2 ×  – contingency tables with fixed two dimensional marginal. Also, we use the expansion of markov basis ↑togive a new model of permutation the pieces of nucleotides in DNA sequences.