Grade 12th passAlgebra
how many words are possible from the letters of the word extra,such that two vowels does not come consequently?
how many words are possible from the letters of the word extra,such that two vowels does not come consequently?
1 Answer
Ritvik Gautam
Approved Tutor Answer15 Years ago
total number of ways of arrangement ==> 5 5 5 5 5 ==> 55
number of ways in which vowels are repeated
since there are 2 vowels... and 3 words apart from the vowels...
Case 1:- 2 vowel 3 others
2 2 3 3 3
Case 2:- 3 vowel 2 others
2 2 2 3 3
Case 3:- 4 vowel 1 other
2 2 2 2 3
Case 4:- 5 vowels
2 2 2 2 2
No of ways in which vowel is not repeated ==> total number of ways - no of repeititions..
==> 3125-108-72-48-32
==>2865
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