In how many ways can the letters of the word 'banking' be arranged, such that vowels do not come together?

• banking
  total no. of words=7!/2!=2520
  total no. of words in which vowels comes together=bnkng(ai)
  =(6!/2!)*2!=720
  
  the no. of words in which vowels do not come together is=2520-720 =1800
• 8 years agoHelpfull: Yes(62) No(9)
• total no of words=7!/2!=2520
  vowels come together=6!/2!*2!=720
  vowels not together=2520-720=1800
• 8 years agoHelpfull: Yes(13) No(2)
• vowels come together =bnkng(ai)=6!
  the vowels can be rearranged in 2! ways
  total num of ways is 7!
  total num of ways that vowels not come together is 7!-(6!*2!)=3600
  
• 8 years agoHelpfull: Yes(6) No(10)
• 7!-(6!)*2=3600
• 8 years agoHelpfull: Yes(4) No(4)
• 1800 ways
  (5!/2!)*6p2= 1800
• 8 years agoHelpfull: Yes(3) No(9)
• bkg nn ai
  6!/(2!*2!)=180
• 8 years agoHelpfull: Yes(2) No(12)
• vowels come not together=total possibilities-vowel come to gether
  then
  sol is
  7!-6!*2!=3600 this is exact ans but 1800 wrong
• 8 years agoHelpfull: Yes(2) No(7)
• _b_n_k_n_g_
  arranging the above five 5 vowels in =5!/2! ways
  two vowels in 6 places in =6p2 ways
  total= 5!/2! * 6p2=1800
• 8 years agoHelpfull: Yes(2) No(4)
• (ai)+5 letters=6-->6! with volwels together
  total ways 7!
  required = 7!-6!=6*6!
• 5 years agoHelpfull: Yes(0) No(0)