hard · GRE Quant

In a renewable-energy pilot, 46 participants are classified into groups music, theater, dance. The three group totals are 23, 18, and 18; the pairwise intersections are 7, 7, and 6, respectively; and 2 participants are in all three groups. Pairwise counts include those in all three. How many belong to exactly two groups?

  1. 2
  2. 20
  3. 59
  4. 14
  5. 39

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