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In a group of children, 35 play football...

In a group of children, 35 play football out of which 20 play football only, 22 play hockey, 25 play cricket out of which 11 play cricket only. Out of these 7 play cricket and football but not hockey, 3 play football and hockey but not cricket and 12 play football and cricket both.
How many play all the three games ? How many play cricket and hockey but not football, how many play hockey only? What is the total number of children in the group?

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