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A group of 75 students went to an amusement park. 25 of them went on the Ferris Wheel, 35 went on the Roller Coaster, and 10 went on both. How many students went on neither ride?

  • A.15
  • B.20
  • C.25
  • D.35

Answer: C

Let F be the set for Ferris Wheel and R for Roller Coaster.

n(F) = 25, n(R) = 35, n(F ∩ R) = 10.

Number of students who went on at least one ride = n(F ∪ R) = n(F) + n(R) - n(F ∩ R) = 25 + 35 - 10 = 50.

Total students = 75.

Number of students who went on neither ride = Total - n(F ∪ R) = 75 - 50 = 25.

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