Also notice that we don't know the number of students who play all three sports.īut we CAN use the first formula, find the number of students who play all three and then find the number of students who play exactly two of the sports. So, we cannot use the second formula directly. The same for "4 play Cricket and Football and 5 play Hockey and football". Notice that "7 play both Hockey and Cricket." does NOT mean that these 7 students play ONLY Hockey and Cricket, some might play Football too. This question asks for the number of students who played exactly two sports? Why does the second formula not work here?
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