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nikhil yadala Grade: 12th pass
        how many words are possible from the letters of the word"EXTRA",such that no vowel repeates? 
6 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

6 years ago
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