SOLUTION: A community meeting was attended by 37 parents along with 26 students. A committee is to be formed consisting of 8 people: 4 parents and 4 students. If you are one of the studen

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Question 353779: A community meeting was attended by 37 parents along with 26 students. A committee is to be formed consisting of 8 people: 4 parents and 4 students. If you are one of the students at the meeing, what is the probability that you will be chosen for the committee
Answer by robertb(5830) About Me  (Show Source):
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If I were one of the students and it is certain that I'll be a member of the committee, then 3 more students are needed to be selected from the remaining 25 students. It can be done in C%2825%2C+3%29+=+2300 ways. Then 4 parents had to be selected from 37 parents. This can be done in C%2837%2C+4%29=66045. There are
C%2863%2C+8%29+=+3872894697 ways of selecting 8 people out of 26%2B37+=+63 people.
The probability is then
2300%2A66045%2F3872894697+=+0.03922.