how many 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels

• Sorry, the explanation would be:
  Number of ways of selecting 4 consonants out of 12 = 12C4 = 2970
  Number of ways of selecting 3 vowels out of 4 = 4C3 = 4
  
  Number of ways of selecting 4 consonants out of 12 and 3 vowels out of 4 =
  12C4 x 4C3 = 2970*4 = 11880.
  
  It means that we can have 11880 groups where each group contains total 7 letters(4 consonants and 3 vowels).
  
  Now, the number of ways of arranging 7 letters among themselves = 7!
  
  = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
  
  Hence, Required number of ways = 11880 x 5040 = 59875200.
• 10 years agoHelpfull: Yes(1) No(1)
• 4 consonants select from 12 consonants in 12c4 ways i.e, 495
  3 vowels select from 4 vowels in 4c3 ways i.e, 4
  so the ans is 495*4
  2070
• 10 years agoHelpfull: Yes(1) No(0)
• With 12 consonants, 3 number of 4 consonants can be made and with the help of 4 vowels, at least 1 number of 3 vowels can be made. So in all, 4 is the answer.
• 10 years agoHelpfull: Yes(0) No(0)