How many words can be made using all of the letters of the word if all of the vowels appear in one string?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Ways to arrange all vowels = 2 ! 3 ! 6 ! = 6 0 Ways to arrange all consonants = 2 ! 6 ! = 3 6 0
Since all consonants must be placed together, we have 7 ways to do that, i.e starting from 1st, 2nd,...7th place.
Words can be made = 6 0 × 3 6 0 × 7 = 1 5 1 2 0 0