SOLUTION: There are 8 senators and 7 representatives. How many ways can a comittie of 6 be formed from the full committee if 5 of the members must be senators. b. How many ways can a subc

Question 897004: There are 8 senators and 7 representatives. How many ways can a comittie of 6 be formed from the full committee if 5 of the members must be senators.
b. How many ways can a subcomittee of 6 be formed if at least 5 of the members must be senators?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 8 senators and 7 representatives.
How many ways can a comittie of 6 be formed from the full committee if 5 of the members must be senators.
# of ways to succeed: 8C5*7= 56*7 = 392
# of random set of 6:::15C = 5005
P(condition) = 392/5005
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b. How many ways can a subcomittee of 6 be formed if at least 5 of the members must be senators?
# of ways to succeed:: 8C5*7 + 8C6 = 56*7 +28 = 420
P(condition) = 420/5005
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Cheers,
Stan H.
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