This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the number of students who play at least one sport using the Principle of Inclusion-Exclusion. Let N(F) be the number of students who play football, N(B) be the number of students who play basketball, and N(F B) be the number of students who play both sports. The number of students who play at least one sport is given by N(F B) = N(F) + N(B) - N(F B). N(F B) = 18 + 12 - 5 N(F B) = 30 - 5 N(F B) = 25 So, 25 students play at least one sport. Step 2: Calculate the number of students who play neither sport. The total number of students in the class is 30. The number of students who play neither sport is the total number of students minus the number of students who play at least one sport. Neither sport = Total students - N(F B) Neither sport = 30 - 25 Neither sport = 5 The number of students who play neither sport is 5. This corresponds to option A. The final answer is A. 5. Send me the next one 📸