SOLUTION: A committee contains 8 members to be chossen from 9 teachers and 4 students. How many ways can this be done if the committee is to contain exactly 3 students?

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Question 935215: A committee contains 8 members to be chossen from 9 teachers and 4 students.
How many ways can this be done if the committee is to contain exactly 3
students?
Found 3 solutions by TimothyLamb, stanbon, Edwin McCravy:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
the committee has 5 teachers and 3 students:
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9*8*7*6*5 * 4*3*2 = 362880
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a comeetie contains 8members is to be chossen for 9teachers and 4students.How many ways can be done if comeetie contains exactly 3students.
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# of ways to succeed: 4C2*9C6 = 6*84 - 504
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# of possible groups of 8:: 13C8 = 1287
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P(condition) = 504/1287 = 0.3916
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Cheers,
Stan H.
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Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Each committee of 8 contains exactly 3 students and 5 teachers.

Choose the 3 students C(4,3) = 4 ways.
For each of those 4 ways, we can choose the 5 teachers C(9,5) = 126 ways.

Answer: 4×126 = 504 ways.

Edwin