In how many ways can the letters of the word ‘MODESTY’ be arranged so that
(i) D and E are always together
(ii) D and E are never together.

• i)bcz O and E are trated as one so (OE)MDSTY total 6 letters
  6!=720
  D AND E=2!=2
  THEREFORE 720*2=1540
  
• 9 years agoHelpfull: Yes(0) No(0)
• De ed 2ways
  6 letters arranged in 6! Ways =720
  Total ways de together=720×2=1440
  
  Total ways to arrange 7 letters =7!=5040
  d e never together =5040-1440=3600
• 9 years agoHelpfull: Yes(0) No(0)
• 1) 6! = 720
  2) 5! * 4 = 480
• 8 years agoHelpfull: Yes(0) No(0)