Question 27
Permutations and CombinationsHow many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?
- A.7,920
- B.792
- C.187
- D.42
Show the answer and explanation
Answer: A (7,920)
Explanation
Choose 2 from 12, then 7 from the remaining 10, then the last 3: ¹²C₂ × ¹⁰C₇ × ³C₃ = 66 × 120 × 1 = 7920.