How many ways can 12 people be divided into three groups of 2, 7 and
FURTHER MATHEMATICS
WAEC 2007
How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?
- A. 7920
- B. 792
- C. 187
- D. 42
Correct Answer: A. 7920
Explanation
= \(\frac{12!}{2! 3! 7!} \)
\(\frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{2 \times 3 \times 2 \times 7!}\)
= \(7,920\)
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