SOLUTION: An organization consisting of 26 women and 15 men needs to select from its ranks a committee of 4 people. If the members of the committee are selected at random, what is the pro

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Question 1153838: An organization consisting of 26 women and 15 men needs to select from its ranks a committee of 4 people.
If the members of the committee are selected at random, what is the probability that the committee will consist of only women?
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.

    P = C%5B26%5D%5E4%2FC%5B41%5D%5E4


The formula says that the probability is the ratio of the number of quadruples(4 women) taken from 26 women
to the number of all possible quadruples of 4 persons selected from 26+15 = 41 person.


C%5B26%5D%5E4 = 14950

C%5B41%5D%5E4 = 101270


P = 14950%2F101270 = 0.1476.     ANSWER

Solved.

NOTE:   I used  Excel-function  COMBIN(n,k)  to calculate  C%5Bn%5D%5Ek  quickly and with no headache.