Practice - Sum Rule
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Practice Questions
Test your understanding with targeted questions
How many ways can you choose a single member from a group of 5 students and 3 faculty?
💡 Hint: Add the two groups' counts together.
A school has 10 basketball players and 4 soccer players. How many ways to choose one player?
💡 Hint: Consider only selecting one player from each sport.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the total number of ways to choose one committee member from 6 students and 4 faculty?
💡 Hint: Add the available representatives together.
True or False: The Sum Rule applies to cases where scenarios overlap.
💡 Hint: Remember that we cannot have overlaps.
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Challenge Problems
Push your limits with advanced challenges
A password requires either 6, 7, or 8 characters. Each character can be either a digit, uppercase letter, or a special character. How many valid passwords can be formed given that the count of digits must be at least one?
💡 Hint: Use Product Rule first to find total possible combinations, and subtract invalid ones.
In a survey, if 50 people prefer coffee, 20 prefer tea, and both groups dislike each other, how many distinct preferences can be counted?
💡 Hint: Always check if the groups can be simultaneously counted before summing.
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Reference links
Supplementary resources to enhance your learning experience.