hard · GRE Quant

In an environmental monitoring project, 49 participants are classified into groups music, theater, dance. The three group totals are 22, 21, and 21; the pairwise intersections are 7, 7, and 10, respectively; and 3 participants are in all three groups. Pairwise counts include those in all three. How many belong to exactly two groups?

  1. 3
  2. 24
  3. 64
  4. 15
  5. 40

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