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In how many ways can a committee of 5 be selected from 8 students if...

Further Mathematics
WAEC 2015

In how many ways can a committee of 5 be selected from 8 students if 2 particular students are to be included?

  • A. 20
  • B. 28
  • C. 54
  • D. 58
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Correct Answer: Option A
Explanation

Since 2 students must be included, we have to arrange the remaining 3 students from the 6 students left

= \(^{6}C_{3} = \frac{6!}{(6-3)!3!}\)

= 20 ways


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