How many different words can be formed with the letters of the word 'FACTORIAL' such that the vowels always come together?
Added by Cameron D.
Close
Step 1
So, we have the unit "AOI" and the remaining consonants (F, C, T, R, L) as separate units. Now, we have 2 units: "AOI" and "FCTRL". The unit "AOI" can be arranged in 3! = 6 ways. The unit "FCTRL" can be arranged in 6! = 720 ways. Since the units "AOI" and Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 83 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 different permutations can be made with the letters of the word 'CONSTANT' so that vowels are always together?
Sri K.
14 different letters of alphabet are given, words with 6 letters are formed from these given letters. How many number of words are there which have at least one letter repeated?
Patricia B.
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