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MMLU-Pro / 8838 / Consider a group of 10 people A,B,C,D,E,F,G,H,I,J and we are to choose a…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Consider a group of 10 people {A,B,C,D,E,F,G,H,I,J} and we are to choose a committee of 4 people from them. Given that (1) A and B should not be chosen together, and that (2) A, C, F should not be chosen together, then how many ways are there to choose such a committee?

category

math

options

  1. 184
  2. 200
  3. 220
  4. 150
  5. 135
  6. 176
  7. 210
  8. 190
  9. 126
  10. 165

src

theoremQA-Math

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