Practice Unordered Selection of k Elements - 11.6 | 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 a basket of 4 different fruits?

💡 Hint: Use the formula C(n, k) = n! / (k!(n - k)!)

Question 2

Easy

What is C(5, 0)?

💡 Hint: Think about picking no items at all.

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 is the formula for combinations?

  • A) C(n
  • k) = n! / (k!(n - k)!)
  • B) P(n
  • k) = n! / (k!(n - k)!)
  • C) C(n
  • k) = k! / (n!(n - k)!)

💡 Hint: Recall how we derive the number of ways to select.

Question 2

True or False: The order of selection matters in combinations.

  • True
  • False

💡 Hint: Think about how you list selections to compare.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using a set of letters A, B, C, D, E, how many ways can you select 3 letters if repetitions are not allowed?

💡 Hint: Remember the formula for choosing without replacement!

Question 2

In a flower shop with 6 types of flowers, how many distinct bouquets of 4 can be created allowing repetitions?

💡 Hint: Think how grouping flowers allows flexibility in counts.

Challenge and get performance evaluation