hard · GRE Quant

Of 80 participants, 35 are in A, 30 in B, and 28 in C. Pairwise intersections (including those in all three) are |Acap B|=12, |Acap C|=10, and |Bcap C|=8; and 4 are in all three. How many participants are in none of the three groups?

  1. 13
  2. 67
  3. 18
  4. 4
  5. 22

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