In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?

• 36 ways
  
  Out of 6 positions (1)(2)(3)(4)(5)(6), Vowels E, A, I can be placed at positions (1) (3) (5) in 3P3 ways= 6 ways.
  Similarly 3 consonants can be arranged at the remaining 3 positions in 3P3 ways = 6 ways.
  Total number of ways = 6 x 6 = 36
• 6 years agoHelpfull: Yes(2) No(0)
• Total number of was= 6!=720
• 6 years agoHelpfull: Yes(0) No(1)