Practice Combinations With Repetitions - 11.7 | 11. Permutation and Combination | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

How many ways can you choose 2 fruits from 3 types if repetitions are allowed?

💡 Hint: Use the formula C(n+r-1, r)

Question 2

Easy

Calculate the combinations of selecting 4 candies from 2 types.

💡 Hint: Think of 'bars' to separate candy types.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does combinations with repetitions mean?

💡 Hint: Think about choosing items where order doesn’t matter, but you can select duplicates.

Question 2

True or False: In combinations with repetitions, the order of selection matters.

  • True
  • False

💡 Hint: Recall that combinations focus on selection not arrangement.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation