How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?

• 4 consonants out of 12 can be selected in 12C4 ways.
  
  3 vowels can be selected in 4C3 ways.
  
  Therefore, total number of groups each containing 4 consonants and 3 vowels = 12C4 * 4C3
  
  Each group contains 7 letters, which can be arranging in 7! ways.
  
  Therefore required number of words = 124 * 4C3 * 7!
• 13 years agoHelpfull: Yes(49) No(4)
• Rqrd No. of words= 4P3 * 12P4 =285120
• 12 years agoHelpfull: Yes(6) No(24)
• 1980 words
• 13 years agoHelpfull: Yes(5) No(7)
• Total number of words possible=12C4 * 4C3
  Total no of arrangements = 12C4 * 4C3 * 7!
• 8 years agoHelpfull: Yes(5) No(0)
• Try this one...
  Out of 12 consonants 4 consonants=12C4
  Out of 4 vowels 3 vowels=4C3
  Total group=12C4*4C3
  Each group contains 7 letters,
  SoTotal words=(12C4*4C3*7!)
  =(495*4*5040)
  =9979200
• 7 years agoHelpfull: Yes(3) No(1)
• 1980
  12c4*4c3
• 8 years agoHelpfull: Yes(1) No(1)