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
waec 2017furthermathematics

The correct answer is C. 6006

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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