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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?

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

10 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

10 years ago
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