How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

Number of letters = (all distinct)
Number of vowels = 5 (e, i, o, u, a)
Number of consonants = 3 (q, t, n)
Step I:   Tie the vowels together
        Number of permutations = 
Step II:   Tie the consonants together.
         Number of permutations = 
Step III:  Mix the bundles and any remaining letter to give 1 + 1 + 0 = 2 letters.
             Number of permutations = 
             Hence, the number of permutations, using, fundamental principle of counting 
          
                                                 = 120 x 6 x 2 = 1440