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Finding Outcomes — Test

Question 1 • CR - Algebra 2 26-27 - S2

Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia?

Answer
1
15,876
3
31,752
4
45,722,880
4
457,228,800

Explanation

Julia must be one of the 5 women on the team, so choose 4 more women from the other 9: there are 126 ways. Choose 5 men from the 9 tryouts: there are also 126 ways. Multiplying gives 126 × 126 = 15,876 possible teams, which is choice A, 15,876.

AI-written and checked against the verified answer.

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