In a group of children, 45 play football out of which 30 play football only, 28 play hockey; 25 play cricket, out of which 11 play cricket only. Further 7 play cricket and football but not hockey, 5 play football and hockey but not cricket and 10 play football and cricket both. Find : (i) How many play all three games? ( ii ) How many play only hockey? ( iii ) How many children are there in the group? iv) How many play only one game? (v) How many play exactly 2 games? (vi) How many play at least 2 games?
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