Assignment problem can also be applied in statistical techniques. Completely Randomized design is a very useful model in statistics. Many complex experimental situations can often be considered as completely Randomized design. A Randomized block design tests the effect of two independent variables on a dependent variable. A Randomized block design test analyzes the effect of the independent variables on the expected outcome along with their relationship to the outcome itself. Latin square is the square matrix are also solved in this paper. Agricultural experiment for certain area of land to solve a problem dealing with the different varieties of a particular paddy the method of block and treatment is used. Comparing with these types of problem which are solved in completely Randomized design, Randomized block design, Latin square, Assignment problem and Game theory, then we get the optimal solution by a new approach. Also the methods are solved using R language.