Home » Further Mathematics » In how many ways can a committee of 5 be selected from 8 students if…

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

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
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