SOLUTION: How many different committees of eight (8) can be selected from fifteen (15) seniors and eighteen (18) juniors a. if the committee is to consist of five (5) seniors and three (3

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Question 1177746: How many different committees of eight (8) can be selected from fifteen (15) seniors and eighteen (18) juniors
a. if the committee is to consist of five (5) seniors and three (3) juniors?
b. if the committee is to consist of at least 6 seniors?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi 
Group of 33:  15 Sr   &    18 Jr
Choose 8:  33C8 all the ways they can be chosen

a.  P(5 Sr & 3 Jr) = (15C5)(18C3)/ (33C8)

b.  P(at least 6 seniors) = P(6 Sr) + P(7 Sr) + P(8 Sr)
  P =  [(15C6)(18C2) + (15C7)(18C1) + (15C8)(18C0)]/(33C8)

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