Practice - Combinations With Repetitions
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Practice Questions
Test your understanding with targeted questions
How many ways can you choose 2 fruits from 3 types if repetitions are allowed?
💡 Hint: Use the formula C(n+r-1, r)
Calculate the combinations of selecting 4 candies from 2 types.
💡 Hint: Think of 'bars' to separate candy types.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does combinations with repetitions mean?
💡 Hint: Think about choosing items where order doesn’t matter, but you can select duplicates.
True or False: In combinations with repetitions, the order of selection matters.
💡 Hint: Recall that combinations focus on selection not arrangement.
1 more question available
Challenge Problems
Push your limits with advanced challenges
You need to select a committee of 4 from 3 distinct departments ensuring each department is represented. Calculate the possible setups.
💡 Hint: Use the stars and bars method with the added representation of departments.
In a garden, you want to plant 10 flowers using 3 types that can be repeated. How many arrangements are possible?
💡 Hint: This is akin to distributing the flowers into types using combinations.
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