SOLUTION: in how ways can a committee consisting of 4 faculty members and 5 students be formed if there are 6 faculty and 12 students eligible to serve on the committee

Algebra ->  Permutations -> SOLUTION: in how ways can a committee consisting of 4 faculty members and 5 students be formed if there are 6 faculty and 12 students eligible to serve on the committee      Log On


   



Question 1066648: in how ways can a committee consisting of 4 faculty members and 5 students be formed if there are 6 faculty and 12 students eligible to serve on the committee
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
in how highlight%28many%29 ways can a committee consisting of 4 faculty members and 5 students be formed
if there are 6 faculty and 12 students eligible to serve on the committee
~~~~~~~~~~~~~~~~~~~~~~~

You can select 4 faculty members of 6 by C%5B6%5D%5E4 = %286%2A5%29%2F%281%2A2%29 = 15 ways.

You can select 5 students of 12 by C%5B12%5D%5E5 = %2812%2A11%2A10%2A9%2A8%29%2F%281%2A2%2A3%2A4%2A5%29 = 792 ways.

By combining it independently, you have 15*792 = 11880 options.

On Combinations in Combinatorics see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
in this site.