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posted by  Anonymous on 10/12/2008 8:57:01 PM  |  status: Live  

Combinations

Course Textbook Chapter Problem
Statistics and Probability N/A N/A N/A
Question Details:
a) A committe of 6 people, consisting of 3 republicans and 3 democrats is to be formed. If there are 52 democrats and 48 republicans, how many ways can this committe be chosen?

b) In how many ways could a commitee of 5 reach a majority descicion if all must vote?

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posted by Kabuto on 10/12/2008 10:34:44 PM  |  status: Live
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Response Details:
a) You want to have a committe of 6 people, of which 3 must be republicans and 3 must be democrats.
You choose 3 democrats from 52 and 3 republicans from 48.
So the answer is 52C3 * 48C3 = 382241600
 
b) I don't really understand the question. Does it mean 5 members from the committe (of 6 members) must vote the same thing to reach a majority decision?
Good luck!
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