4. How many permutations are possible with the letters of the word PENCIL a. If there is no restriction? b. If the first two letters are consonants? c. If P, E and N are together? d. If the two vowels are NOT together?
Added by Casey E.
Close
Step 1
If there is no restriction: To find the number of permutations with no restriction, we simply calculate the factorial of the number of letters in the word. In this case, the word has 4 letters, so the number of permutations is 4!. Show more…
Show all steps
Your feedback will help us improve your experience
Aarti Kumari and 74 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
How many permutations are there of the letters of the word UNDERMOST if the letters are taken 4 at a time?
Pritesh R.
In how many ways can the letters of the word PERMUTATIONS be arranged if the (i) words start with $\mathrm{P}$ and end with $\mathrm{S}$, (ii) vowels are all together, (iii) there are always 4 letters between $\mathrm{P}$ and $\mathrm{S}$ ?
Permutations and Combinations
Permutations
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