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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
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Correct Answer: Option A
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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