![]() ![]() Since 18 students do not play any of the three sports, 50 - 18 = 32 students must play at least one of the 3 sports. If 18 students do not play any of these given sports, how many students play exactly two of these sports? 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. Somehow, I only noticed my mistake with this explanation and not the one from Bunuel (which is literally the same) thanks 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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