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Part 1
A city council consists of five Democrats and five Republicans. If a committee of seven people is​ selected, find the probability of selecting five Democrats and two Republicans.

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Answered by GPT-5 mini AI
Number of ways to choose 7 from 10: C(10,7)=120.
Number of favorable ways: choose 5 Democrats from 5 and 2 Republicans from 5: C(5,5)·C(5,2)=1·10=10.
Probability = 10/120 = 1/12 ≈ 0.08333.