Practice Combinations With Repetitions (11.7)

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
How many ways can you choose 2 fruits from 3 types if repetitions are allowed?
Show hintHide hint
Use the formula C(n+r-1, r)
Question 2.
Calculate the combinations of selecting 4 candies from 2 types.
Show hintHide hint
Think of 'bars' to separate candy types.
3Question 3.
What does combinations with repetitions mean?
Show hintHide hint
Think about choosing items where order doesn’t matter, but you can select duplicates.
4Question 4.
True or False: In combinations with repetitions, the order of selection matters.
- True
- False
Show hintHide hint
Recall that combinations focus on selection not arrangement.
Question 5.
You need to select a committee of 4 from 3 distinct departments ensuring each department is represented. Calculate the possible setups.
Show hintHide hint
Use the stars and bars method with the added representation of departments.
Question 6.
In a garden, you want to plant 10 flowers using 3 types that can be repeated. How many arrangements are possible?
Show hintHide hint
This is akin to distributing the flowers into types using combinations.

5 more questions in this section. Enroll free to practise them all.