ACTIVITY NO. 2 Answer each permutation problem completely. 1. How many distinguishable permutations are possible with all the letters of the word ELLIPSES? 2. In how many ways can 12 people occupy the 12 seats in a front row of a mini theatre? 3. How many distinguishable permutations are possible with all the letters of the word PHILIPPINES? 4. There are 12 basketball teams competing for the top 4 standings to move up to the semi-finals. Find the number of possible rankings of the four top teams. 5. Find the number of different ways that a family of 6 can be seated around a circular table with 6 chairs. 6. From 12 possible speakers, how many ways could you select an order of 5?
Added by Andrea A.
Close
Step 1
For the word ELLIPSES, there are 8 letters in total. However, there are 2 L's, 2 S's, and 2 E's. So, the number of distinguishable permutations is: $$\frac{8!}{2! \cdot 2! \cdot 2!}$$ Show more…
Show all steps
Your feedback will help us improve your experience
Jeremy Gamble and 90 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Answer each permutation problem completely. 1. How many distinguishable permutations are possible with all the letters of the word ELLIPSES? 2. In how many ways can 12 people occupy the 12 seats in a front row of a mini theatre? 3. How many distinguishable permutations are possible with all the letters of the word PHILIPPINES? 4. There are 12 basketball teams competing for the top 4 standings to move up to the semi-finals. Find the number of possible rankings of the four top teams. 5. Find the number of different ways that a family of 6 can be seated around a circular table with 6 chairs. 6. From 12 possible speakers, how many ways could you select an order of 5?
Adi S.
Sri K.
Madhur L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD