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Letters are placed in the sets X, Y and Z as shown. How many letters belong to exactly one of the sets?

Competition practiceVenn Diagrams
  • A3
  • B7
  • C6
  • D12

Step-by-Step Solution

Exactly one set: b and f (X only), g, j and q (Y only) and h (Z only) — six letters. 3 counts the regions instead of the letters, 7 also counts , which is in no set, and 12 counts every letter inside the circles.
Answer: C) 6

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