To get the total number of games possible, we will use the combination formula.
Total number of games : [tex] _{10}C_{2} [/tex] = 45
Total of 45 games in the whole tournament.
Meanwhile, if there would be boy-versus-boy, we will have [tex]_{5}C_{2} [/tex]
The answer is 10.
The fraction for boy-versus-boy game will be 10/45 or 2/9 when simplified.