In how many different ways, can the letters of the words EXTRA be arranged so that the vowels are never together?
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Answer (Detailed Solution Below)Option 4 : 72 Calculation: EXTRA → Total number of words = 5 and total number of vowels = 2 The word EXTRA can be arranged in 5! ways = 120 ways The word EXTRA can be arranged in such a way that the vowels will be together = 4! × 2! ⇒ (4 × 3 × 2 × 1) × (2 × 1) ⇒ 48 ways The letters of the words EXTRA be arranged so that the vowels are never together = (120 - 48) = 72 ways. ∴ The letters of the words EXTRA be arranged so that the vowels are never together in 72 ways. Recommended Learning for youClose(X) Subscribe here for free mock test on IAS PCS SSC and other competitive exam. Signup here to get SSC CGL Solution and main exam study material Email address Share the KnowledgeYou can help us to improve by giving your valuable suggestions at By using the service of this site, I agree that I will serve wholeheartedly and will not indulge in any sort of activity that threats the integrity of the organisation I am working for / I work for. I have a firm believe in the notion that knowledge should be open source and helping the needy and deserving part of society will always be my motto.Knowledge is the power, Dont miss any paper, Subscribe to us
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Category (489)General Ability (141)HR Interview (122)Logical Reasoning (850)Numerical Ability (3069)Programming (166)Verbal Ability (87)Advertisements Previous Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? Next Question: what is the minimum value of abs(81m-576n+510) as m,n take all integer values?Here,abs is absolute value function (i.e.,if x>0, then abs(x)=x and if x<0,then abs(x)=-x) (#M40157302) TCS Numerical Ability question Keep an EYEin how many ways can letter of word MOBILE can be arranged so that atleast two consonant remains togetherAsked In TCS gourav (6 years ago) Unsolved Read Solution (23) Is this Puzzle helpful? (28) (14) Submit Your Solution Permutation and CombinationAdvertisements Read Solution (23) : Please Login to Read Solution. Previous Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? Next Question: what is the minimum value of abs(81m-576n+510) as m,n take all integer values?Here,abs is absolute value function (i.e.,if x>0, then abs(x)=x and if x<0,then abs(x)=-x)
Sponsored LinksAdvertisements Challenger of the Day Arneet Singh India Punjab Time: 00:02:42 Points 18 Maths Quotesmathematic is the door and key to the science someone The essence of mathematics is not to make simple things complicated, but to make complicated things simple. S. Gudder Placed User CommentsM4Math helped me a lot. Vipul Chavan 2 years ago Thanks m4 maths for helping to get placed in several companies. yash mittal 2 years ago How many ways can the letters of the word mobile be arranged so that the consonants always occupy the odd places?Correct option (B) 36
The word 'MOBILE' has three even places and three odd places. It has 3 consonants and 3 vowels. In three odd places we have to fix up 3 consonants, which can be done in 3P3 ways.
How many ways can the letters of the word mobile be arranged so that consonants always remain together?(arrange consonants) = 6 * 4* 6= 144.
How many ways can the letters of the word mobile be arranged?The number of possible arrangements is 6*5*4*3*2*1 = 6! = 720.
How many different ways can the letters of the word combine be arranged so that the vowels always come together?The number of ways the word TRAINER can be arranged so that the vowels always come together are 360.
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