The number of points $P(x,y)$ with natural numbers as coordinates that the inside the quadrilateral formed by the lines $2x+y=2,y=0$ and $x+y=5$ is

Question

$$\begin {array} {1 1} (a)\;12 & \quad (b)\;10 \\ (c)\;6 & \quad (d)\;4 \end {array}$$