Permutation & Combination · Question 25 · Medium

In how many ways can 8 trainees be split into two groups of 4 each (the groups are not named)?

  1. 70
  2. 35
  3. 16
  4. 140
Answer and explanation

Answer: B. 35

Explanation: Choosing 4 of 8 gives 8C4 = 70, but each split is counted twice (a group and its complement), so 70 ÷ 2 = 35.

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