Question

The total number of words that can be made by writing the letters of the word parameter so that no vowel is between two consonants is

Answer 1

Answer:

1800

Step-by-step explanation:

The total number of words that can be made by writing the letters of the word parameter so that no vowel is between two consonants is

No vowels between two consonants

=> All Consonants should be together

PARAMETER  =  

5 - Consonants  P , R  M  T  R    

4 Vowels  - A A  EE  

5 - Consonants Can be Placed in Such a Way

5!/2!   ( as R is Repeated)  = 60 Ways

Now 4 Vowels & Taking cononent as one Group

total 5

5!/(2!2!)     ( as A & E are Repeated)   = 30 Ways

Total Number of  Words = 60*30  = 1800