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(#M40152024) ACCENTURE Numerical Ability question permutaion&combination Keep an EYE

how many ways to arrange a word ORANGE in which vowels are not together

Asked In Accenture santhosh (9 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

AMRITA PADHI  (9 years ago)

orange-6!=720
(aeo)rng-4!*3!=144(Taking a,e,o combinely as 1)(vowels come together)
(aeo-1,r-2,n-3,g-4)
no. of ways vowels not come together=720-144=576

Is this solution Helpfull? Yes (18) | No   

Neeraj  (9 years ago)

_ , R , _ , N , _ , G , _ = 3! for consonants
and
4 places for 3 vowels (o,e,a) = 4P3 ways
so, total = (4P3)*3! = 144 ways in which vowels are not together

Is this solution Helpfull? Yes (3) | No (1)  

B.Naga Sivani  (9 years ago)

576 is ans

Is this solution Helpfull? Yes (2) | No   

samson  (9 years ago)

720-2^6=576

Is this solution Helpfull? Yes (1) | No   

Monika Makwana  (9 years ago)

6!-4!*3!=576

Is this solution Helpfull? Yes (1) | No   

akshay  (9 years ago)

6!-(4!*3!)=576

Is this solution Helpfull? Yes (1) | No   

Vikash Singh  (9 years ago)

vowels are not together= 6!- 4!*3!
= 720-144
= 576

Is this solution Helpfull? Yes (1) | No   

TANYA KAR  (9 years ago)

ORANGE = 6!
NO OF VOWELS CAN ARRANGE ITSELF IN= 3! WAYS
NO OF CONSONANTS LEFT =3
NO OF WAYS IN WHICH VOWEL COME TOGETHER
=
( NO OF CONSONANTS + TAKING SET OF VOWEL AS A WHOLE) * NO WAYS IN WHICH VOWEL CAN
ARRANGE ITSELF
= (3+1)! * 3!
4!*3!
144

SO, NO OF WAYS IN WHICH VOWEL CANNOT ARRANGE ITSELF = 6! - 4!3!
= 720 - 144
= 576

Is this solution Helpfull? Yes (1) | No   

Deependra Rathore  (9 years ago)

No. of ways in which orange can arrange is 6! =720
no. of ways in which all vowel take together is = 4!*3!
then the no. of ways in which vowel are not comes together is = total no of ways-no. ways comes together
=>6!-4!*3!
=>576

Is this solution Helpfull? Yes (1) | No   

seshadri  (9 years ago)

3! ways=24

Is this solution Helpfull? Yes | No (2)  

amrita  (9 years ago)

36
3 vowels can be arranged in odd positions in 6 ways
and
3 consonants can be arranged in even positions in 6 ways.

so total 6*6= 36 ways

Is this solution Helpfull? Yes | No (3)  

B.Naga Sivani  (9 years ago)

576 is ans

Is this solution Helpfull? Yes | No   

vivek sharma  (9 years ago)

Let ORANGE
we hv one word , in that word 6 letter and no repetation
6! = 720

Is this solution Helpfull? Yes | No (2)  

Nick Taker  (9 years ago)

orange having a three vowels o,a,e
for solving
combine them into one (oae)rng
now 4p4 = 4! =24
and 3!=6
so that 6*24 = 144
this no. of occansion when they come together
now total occurances are 6! = 36
so we subtract total occurances by occurances where they come together
144-36 =108

Is this solution Helpfull? Yes | No (2)  

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