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There are 7 boys in a class of 20. Find the number of ways of...

Further Mathematics
WAEC 2017

There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys

  • A. 1638
  • B. 2730
  • C. 6006
  • D. 7520
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Correct Answer: Option C
Explanation

No of boys in the class = 7; Girls = 20-7 = 13

No of selection = \(^{13}C_{3} \times ^{7}C_{2} = \frac{13!}{(13-3)!3!} \times \frac{7!}{(7-2)!2!}\)

= \(286\times21 = 6006\)


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