Determine the total number of ways the letters of the word supercalifragilisticexpialidocious can be arranged such that:

(i) All the five vowels will occur in order.
(ii) At least four of the five vowels will occur in a precisely reversed order.

(In reply to re: solution by Jer)

Indeed you have valid points. I'll have to consider how to get around the double counts. Or someone else can see how to do so.

Posted by Charlie on 2014-09-25 07:48:06