$p(x,y)$ is called a natural point if  $x,y\in N.$ The total number of points lying inside the quadrilateral formed by the lines $2x+y=2,x=0,y=0andx+y=5is$  ________

First, we construct the graph of the given quadrilateral.
   
It is clear from the graph that there are six pints lying inside the quadrilateral.
Given lines are 2x+y=2,x=0,y=0,x+y=5
Vertices of the quadrilateral are (1, 0), (5, 0), (0, 5), (0, 2) 
The points lie in the quadrilateral are (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)
 ∴ Number of points = 6