In a school, there are a total of Y Y Y students (boys and girls combined). Each student likes at least one of the three sports: A, B, and C. The numb...
Question
In a school, there are a total of students (boys and girls combined). Each student likes at least one of the three sports: A, B, and C. The number of students who like all three sports is 114. Additionally, 16% of the total students like sports A and B but not C, 13% like sports B and C but not A, and 4% like sports A and C but not B. The ratio of students who like only A, only B, and only C is 2:3:1 respectively. The total number of students who like at least two sports is 312.
What is the difference between the number of students who like only one sport and the number of students who like all three sports?