SOLUTION: Five freshmen, 4 sophomores, and 2 juniors are present at a meeting of students.In how many ways can a six-member committee be selected with no more than two freshmen members?

Algebra ->  Permutations -> SOLUTION: Five freshmen, 4 sophomores, and 2 juniors are present at a meeting of students.In how many ways can a six-member committee be selected with no more than two freshmen members?       Log On


   

Question 1035991: Five freshmen, 4 sophomores, and 2 juniors are
present at a meeting of students.In how many ways can a six-member committee
be selected with no more than two freshmen
members?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5 freshmen, 4 sophomores, and 2 juniors are
present at a meeting of students.In how many ways can a six-member committee
be selected with no more than two freshmen
members?
------
0 freshmen:: 6C6 = 1 way
1 freshman:: 5C1*6C5 = 5*6 = 30 ways
2 freshman:: 5C2*6C4 = 10*15 = 150 ways
-----------
Total ways:: 181 ways
----------------------
Cheers,
Stan H.
------------------