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Medium Level Question 5 – answer, explanation & discussion

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Question 5 Back to Exercise

A group of 4 is chosen from 10 people, two of whom refuse to be in the group together. How many groups are possible?

  • A 28
  • B 182 Correct
  • C 210
  • D 70
Correct Answer: Option B

All groups = 10C4 = 210

Both included: 8C2 = 28

210 − 28 = 182

Trap: 28 is the count to remove.

Answer: 182

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