SOLUTION: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 11 faculty members and 15 students eligible to serve on the committee?

Question 1081006: In how many ways can a committee consisting of 4 faculty members and 5 students be formed if there are 11 faculty members and 15 students eligible to serve on the committee?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
For the faculty members:
C( 11, 4 )
For the students:
C( 15, 5 )
-----------------
Each of the groups of 4 faculty members
are able to combine with a group of
5 student members in the following way:
C( 11,4 ) x C( 15, 5 )
---------------------------
C( 11, 4 ) =
C( 11, 4 ) =
C( 11,4 ) =
C( 11,4 ) =
C( 11,4 ) =
and
C( 15,5 ) =
C( 15,5 ) =
C( 15,5 ) =
C( 15,5 ) =
C( 15,5 ) =
-------------------------------
C( 11,4 ) x C( 15, 5 ) =
C( 11,4 ) x C( 15, 5 ) =
------------------------------------
There are 990,990 ways to form a committee
Definitely get a 2nd opinion ( if needed ) on this.

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