2. In how many ways can 5 learners stand in circular to play a game? 3. A teacher wants to assign 4 different tasks to her 4 learners. In how many possible ways can she do it? 4. How many distinct permutations of the letters of the word PHILIPPINES are there? 5. In how many ways can you choose 4 cleaners from 20 learners?
Added by Kenneth B.
Close
Step 1
In a circular permutation, the order matters, but the starting point does not. So, we can fix one learner as the starting point and arrange the remaining 4 learners in a line. The number of ways to arrange 4 learners in a line is 4!, which is equal to 24. Show more…
Show all steps
Your feedback will help us improve your experience
Clarissa Barr and 67 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
Madhur L.
These exercises involve counting permutations. In how many ways can five students be seated in a row of five chairs if Jack insists on sitting in the first chair?
Probabliliy and Statistics
Counting
Give your answer using permutation notation, factorial notation, or other operations. Then evaluate. How many permutations are there of the letters in each of the following words, if all the letters are used without repetition? A professor is going to grade her 24 students on a curve. She will give $3 \mathrm{A's}, 5 \mathrm{Bs}$, $9 \mathrm{C's}, 4 \mathrm{D}$ 's, and 3 F's. In how many ways can she do this?
Sequences, Series, and Combinatorics
Combinatorics: Permutations
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