SOLUTION: A committee of 11 members will be formed in writing a textbook in Basic Statistics which can be used by students in Business, Natural Sciences, Social Sciences and Computer Scienc

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Question 1172913: A committee of 11 members will be formed in writing a textbook in Basic Statistics which
can be used by students in Business, Natural Sciences, Social Sciences and Computer Sciences courses.
Two members will be selected from 5 available professors in Business, three
from 7 professors from Natural Sciences, one from 2 available professor in Social Sciences,
three from 4 professors in Computer Sciences and five from 9 professors in Statistics. How
many committees can be formed with this composition?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Straightforward application of basic counting principles:

choose 2 of 5; AND choose 3 of 7; AND choose 1 of 2; AND choose 3 of 4; AND choose 5 of 9. So

C%285%2C2%29%2AC%287%2C3%29%2AC%282%2C1%29%2AC%284%2C3%29%2AC%289%2C5%29

According to the statement of the problem, however, this is a problem. You are choosing 14 professors, but the committee is only supposed to have 11 members.