Multiple choice

Consider the word $W = MISSISSIPPI$ Number of ways in which the letters of the word W can be arranged if at least one vowel is separated from rest of the vowels

  1. $\dfrac { 8\ !.16\ ! }{ 4\ !.4\ !.2\ ! } $
  2. $\dfrac { 8\ !.16\ ! }{ 4.4\ !.2\ ! } $
  3. $\dfrac { 8\ !.16\ !}{ 4\ !.2\ ! } $
  4. $\dfrac { 8\ ! }{ 4\ !.2\ ! } .\dfrac { 165 }{ 4\ ! } $
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