These questions are based on the following information:

Children in a class play only one or two or all the three games badminton, football and cricket. 5 children play only cricket, 8 children play only football and 7 children play only badminton. 3 children play only two games badminton and football, 4 children play only two games. Cricket and football and another 4 children play only two games badminton and cricket. 2 children play all the three games.