SOLUTION: A committee at of 5 is to be formed from a group consisting of 7 Democrats, 6 Republicans, and 2 Independents. Note: A committee is an unordered group. (a) How many different co

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Question 282432: A committee at of 5 is to be formed from a group consisting of 7 Democrats, 6 Republicans, and 2 Independents.
Note: A committee is an unordered group.
(a) How many different committee choices are possible if there are no restrictions?


(In other words, in how many different ways can the 5 members of the committee be chosen without regard to order? Since a committee is an unordered group, this will be a combination, not a permutation.)
(b) How many committee choices are possible if the committee is to consist entirely of Democrats?
(c) How many committee choices are possible if the committee is to consist of 2 Democrats, 2 Republicans, and 1 Independent?
Answer by solver91311(24713) About Me  (Show Source):
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The number of ways to select things from things where order doesn't matter is:



Part (a): Calculate

Part (b): Calculate

Part (c): Calculate

John