A class with less than 100 students was asked to choose one of three sports societies to apply to: Cricket, basketball, and football. Fifty applied for exactly two societies, and 15 applied for all three. Given that the number of students who applied for precisely one society is the same as those who applied for no society, what is the maximum number of students that could have used for precisely one society?
Solution
We will get the equation: 0+I+II+III<100
We know that II is 50, III is 15, and the 0 and I are equal, giving us the inequality:
2 I<35
I< 17.5
Therefore, a maximum of 17 students could have applied for exactly one sport.
Hence, Option B is the correct answer.
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