Question 20
There are 6 red points labelled $R_1,R_2,R_3,R_4,R_5,R_6$ and 6 green points labelled $G_1,G_2,G_3,G_4,G_5,G_6$. Using straight lines, each red point is connected to at least one green point and each green point is connected to at least one red point. The numbers of green points connected to $R_1,R_2,R_3,R_4,R_5$ are 5,4,3,2,2 respectively. The numbers of red points connected to $G_1,G_2,G_3,G_4,G_5$ are 4,3,2,1,1 respectively. Find the number of red points connected to $G_6$.