Question

The Chicago City Council consists of 50 alderpersons. (Each alderperson represents a different part of the city.) At a recent City Council meeting, the council discussed revising some of its zoning policies. In an informal poll, 31 of the 50 alderpersons were in favor of the changes and 19 were not. A committee of six people is to be chosen from the 50 alterpersons to devote further study to the issue. How many different committees of six people can be formed from the alderpersons? How many of the committees will contain exactly three alderpersons who, in the informal poll, favored the policy changes? How many of the committees will contain at least three alderpersons who, in the informal poll, favored the policy changes?

Name: the chicago city council consists of 50 alderpersons each alderperson represents a different part of the city at a recent city council meeting the council discussed revising some of its zoni 70457
Uploaded: 2023-09-17T02:41:41-08:00
Duration: 1 min 32 s
Channel: Nick Johnson
Description: the chicago city council consists of 50 alderpersons each alderperson represents a different part of the city at a recent city council meeting the council discussed revising some of its zoni 70457

          The Chicago City Council consists of 50 alderpersons. (Each alderperson represents a different part of the city.) At a recent City Council meeting, the council discussed revising some of its zoning policies. In an informal poll, 31 of the 50 alderpersons were in favor of the changes and 19 were not. A committee of six people is to be chosen from the 50 alterpersons to devote further study to the issue.
How many different committees of six people can be formed from the alderpersons?
How many of the committees will contain exactly three alderpersons who, in the informal poll, favored the policy changes?
How many of the committees will contain at least three alderpersons who, in the informal poll, favored the policy changes?

Added by Jason W.

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