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A school awarded 38 medals in football, ...

A school awarded 38 medals in football, 15 in basketball and 20 in cricket. Suppose these medals went to a total of 58 students and only three students got medals in all three sports. If only 5 students got medals in football and basketball, then the number of medals received in exactly two of three sports is

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To solve the problem, we will use the principle of inclusion-exclusion and set theory. Let's denote: - Let \( A \) be the set of students who received medals in football. - Let \( B \) be the set of students who received medals in basketball. - Let \( C \) be the set of students who received medals in cricket. Given data: - \( |A| = 38 \) (students received medals in football) ...
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