Question 891677
HEPTAGON
<pre>
Example: NH<font color="red"><b>EOA</font></b>TGP

That example has the vowel sequence <font color="red"><b>EOA</font></b> 

The vowels {A,E,O} can be arranged together in any of 3! ways.

For each of those 3! ways, we can form the permutation of these 6 things: 

H,P,T,G,N,(vowel sequence)

in 6! ways.

Answer: 3!6! = 6*120 = 720 ways.

Edwin</pre>