in how many can the letter HARDWARE do not vowels cometogether

• 1)total no letters can form by using hardware= 8!/2!2! b,coz A and R are repeating 2 times
  2)vowels comes together=6!*3!/2!*2!
  vowels not coming together=(8!/2!*2!)-(6!*3!/2!*2!)
• 10 years agoHelpfull: Yes(15) No(0)
• The given word contains 8 letters
  Taking vowels (AAE) together, we treat them as one letter.
  Then the letters to be arranged in 6!/2!=360 (2! because R is repeated twice)
  The vowels can be arranged among themself in 3!/2!=3 (2! because A is repeated twice)
  No of words each having vowels together 360*3=1080
  total no words formed from the word HARDWARE is 8!/2!2!=10080
  no of words each having vowels never together is 10080-1080=9000
  so the final answer is 9000
• 10 years agoHelpfull: Yes(14) No(5)
• Taking vowels together and assuming them as 1 letter
  H R D W R ( A A E )
  6 letters can be arranged in 6! =720 ways
  3 vowels can be arranged in (3!/2!)=3 ways
  Total no. of ways where vowels are together=3*720=2160
  8 letters can be arranged among themselves in 8!=40320 ways
  Hence, total no. of ways where vowels never come together = 40230-2160=38160
• 8 years agoHelpfull: Yes(3) No(0)
• In HARDWARE==>>Vowels are A,A,E and reaming are 5 lettres,
  5 can be arranged in 5!/2! ways and in 6 places 3 vowels can be arranged in 6c3/2!
  therefore==>>> 60*10=600 i think
• 9 years agoHelpfull: Yes(2) No(4)
• The given word contains 8 letters
  there are 'r' and 'a' are repeated 2 times so hardware can be arranged in 8!/2!*2! =10080 ways
  vowels come together is hrdrw(aae) an be arranged in 6!/2!(3!/2!)=1080
  vowels do not come together is 10080-1080=9000
  
• 8 years agoHelpfull: Yes(2) No(0)
• ans:Two
  There are three vowel letters i.e A A E
  in that letter 'A' is repeated so leave it take it as only one time
  now A and E are not coming together
• 9 years agoHelpfull: Yes(0) No(5)
• correct ans is 9000
• 8 years agoHelpfull: Yes(0) No(0)
• (55-15)/4=10
• 8 years agoHelpfull: Yes(0) No(4)
• ans is 8000
• 8 years agoHelpfull: Yes(0) No(1)