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Permutations and Combinations · Discussion forum

Medium Level Question 30 – answer, explanation & discussion

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Question 30 Back to Exercise

In how many ways can 10 players be split into two teams of 5 (the teams have no names)?

  • A 252
  • B 126 Correct
  • C 100
  • D 63
Correct Answer: Option B

10C5 = 252 picks one team; the other is fixed

Each split is counted twice → 126

Trap: 252 counts each split twice.

Answer: 126

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