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Grade: 12th pass
        

how many words are possible from the letters of the word "extra",such that two vowels does not come consequently?

8 years ago

Answers : (1)

Ritvik Gautam
85 Points
							

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

8 years ago
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