Problem 63 of 7
Count outcomes with restrictions for choose 3 students from 12 including one required student.
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account for required, forbidden, or fixed positions.
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Account for required, forbidden, or fixed positions before multiplying or choosing.
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Solution
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1. Identify the restriction.
2. Adjust available choices or group fixed items.
3. Count the remaining valid outcomes.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Unrestricted count when restrictions are present.