SOLUTION: How many words can be fromed of the letters in the word COSTING, the vowel being not separated?

Algebra ->  Permutations -> SOLUTION: How many words can be fromed of the letters in the word COSTING, the vowel being not separated?      Log On


   



Question 1080673: How many words can be fromed of the letters in the word COSTING, the vowel being not separated?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
There are 5 consonants, they all are distinguishable.

And there are 2 vowel that want to be not separated.

So, the answer is 6!*2 = 240.

The factor "2" stands for permutations of the two vowels.