( a ) how many 4 letter words ( sequence of letters with repetition ) are there in which the first and last letters are vowels ( ie: a,e,i,o,u ) ? ( b ) what if vowels appear only (if at all ) in the first and last letter ?
Added by Concepci-N C.
Close
Step 1
For the remaining 3 letters, there are 26 choices for each (since they can be any letter). So, the total number of sequences is: $5 \times 26^3 \times 5 = 5^2 \times 26^3$ Show more…
Show all steps
Your feedback will help us improve your experience
Supreeta N and 78 other Calculus 3 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
If a "word" is interpreted to be a sequence of letters, how many seven-letter words with no repeated letters contain four vowels? (Note that y is not considered a vowel.)
Sri K.
If a "word" is interpreted as a sequence of letters, how many eight-letter words with no repeated letters contain all five vowels? (Note that y is not considered a vowel.) There are words. (Simplify your answer.)
Steven C.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD