Problema Solution
In how many ways can a committee consisting of
4
faculty members and
5
students be formed if there are
12
faculty members and
13
students eligible to serve on the committee?
Answer provided by our tutors
C(12, 4)*C(13, 5) = 12!/(4!(14 - 2)!) * 13!/(5!(13 - 5)!) =
= 12!/(4!8!) * 13!/(5!7!) =
= (9*10*11*12)*(8*9*10*11*12*13)/(2*3*4*2*3*4*5) =
= 5,096,520 ways