SOLUTION: In how many ways can a committee consisting of
2
faculty members and
4
students be formed if there are
7
faculty members and
8
students eligible to
Algebra ->
Permutations
-> SOLUTION: In how many ways can a committee consisting of
2
faculty members and
4
students be formed if there are
7
faculty members and
8
students eligible to
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You can put this solution on YOUR website! There are 7C2 ways to choose two faculty members, since order does not matter.
This is 7!/5!2!=7*6/2 = 21
There are 8C4 ways to choose the students, and this is independent of the faculty.
with no calculator
8*7*6*5*4!/4! *4*3*2*1
The 4! cancel
1680/24=70
21*70+1470 ways.
