The straight line AB has x-intercept = 5 and y-intercept = 5.
Hence equation is
x/5+y/5=1
=> x+y=5
So the cordinates of the points on the side AB,having only integer values are
(0,5);(1,4);(2,3);(3,2);(4,1)and (5,0)
On OB these points are
(0,0);(0,1);(0,2);(0,3);(0,4);(0,5)
And on OA these points are
(1,0);(2,0);(3,0);(4,0);(5,0)
Hence the following points with integer value of coordinates are lying strictly inside the triangle OAB
(1,1);(2,1);(3,1);(1,2);(2;2);(1,3)
So total 6 points