Let C be the set of 6 consonants (b, c, d, f, g, h) and V be a set of 5 vowels (a, e, i, o, u) and W be the set of seven letter words that can be formed with these 11 letters using both the following rules.
(a) The vowels and consonant in the word must alternate.
(b) No letter can be used more than once in a single word. If the number of words in the set W are 10 K Find K.