How many words can be formed form the letters of the word DAUGHTER so that The vowels always come together? The vowels never come together?

Explanation

The letters of the word daughter are “d,a,u,g,h,t,e,r”.


So, the vowels are ‘a, u, e’ and the consonants are “d,g,h,t,r”.


(i)Now, all the vowels should come together, so consider the bundle of vowels as one letter, then total letters will be `6`.


So, the number of words formed by these letters will be `6!`


...