Question text In a club of 25 students:- 14 play basketball- 12 play soccer- 6 play both sports Student 1:"I was asked to find how many students play only soccer. I subtracted: 12 – 6 = 6."Answer 1 Question 46[select: , The student is correct; subtracting overlap gives 6 students who play only soccer., The student is incorrect; they should have added, not subtracted. The correct answer is 18., The student is incorrect; only 3 play soccer, and 9 play both.] Student 2:"I was asked to find how many students play neither sport. I did 25 – 14 – 12 + 6 = 5."Answer 2 Question 46[select: , The student is incorrect; the answer should be 3 because overlap was double-counted., The student is incorrect; permutations should have been used instead, the correct value is 42., The student is correct; inclusion-exclusion correctly gives 5 students who play neither sport.] Student 3:"I was asked to find how many students play at least one sport. I did 14 + 12 = 26."Answer 3 Question 46[select: , The student is correct; 26 is accurate for at least one sport., The student is incorrect; the overlap must be subtracted. The correct total is 20., The student is incorrect; they should have used multiplication, and the total is 84.]Multiple fill-in-the-blank

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