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
Correct Answer: C. 6006
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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