# Permutations question

• March 23rd 2011, 12:52 AM
aonin
Permutations question
Hey guys, I'm having trouble with this question

Q: how many seven-letter words can be formed from the word INCLUDE, no repetition
i) when vowels and consonants alternate
ii)when the letters N and D are separated by exactly two letters
iii) when the letter N and D are separated by more than two letters

Thanks
• March 23rd 2011, 03:17 AM
Plato
Quote:

Originally Posted by aonin
Q: how many seven-letter words can be formed from the word INCLUDE, no repetition
i) when vowels and consonants alternate
ii)when the letters N and D are separated by exactly two letters
iii) when the letter N and D are separated by more than two letters

You need to post something to show effort.
Here is part i) $3!\cdot4!$ because we can arrange the vowels in $3!$ leaving four places to put the others: _v_v_v_.
Now you tell something about the other two.