SOLUTION: Because of limited funds, 5 research centers are chosen out of 8 suitable ones for a study on cancer. If the selection is made at random, what is the probability that these 5 parti

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Question 406105: Because of limited funds, 5 research centers are chosen out of 8 suitable ones for a study on cancer. If the selection is made at random, what is the probability that these 5 particular research center will be chosen?
Please help how to do this!
Thank you

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
nCx = n%21%2F%28x%21%28n-x%21%29%29
8C5 = 56 ways of choosing the 5 research centers (8!/5!3! = 8*7*6/2*3)
P(choosing a one particular combination) = 1/56