Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
how many words are possible from the letters of the word"EXTRA",such that no vowel repeates? how many words are possible from the letters of the word"EXTRA",such that no vowel repeates?
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
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
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -