Latest Patni Aptitude Question SOLUTION: In how many ways the word ENGINEERING can be arranged so that no vowel come together???

• Placement Papers
• /
• Patni
• /
• Numerical Ability
• /
• Probability

Patni Question Papers: PATNI Company Profile

(#M40034927) PATNI Numerical Ability question permutations Keep an EYE

In how many ways the word ENGINEERING can be arranged so that no vowel come together???

Asked In Patni praveena (10 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (15)   (4) Submit Your Solution Probability

Read Solution (4) :

Saraswathy  (10 years ago)

Total no. of ways ENGINEERING can be arranged is
E=3, N=3, G=2, I=2, R=1
=> 11!/(3!*3!*2!*2!) => 277200

No. of ways vowels come together
Vowels ==> (eieei)ngnrng =>
eieei can be considered as 1 letter ... so 1!
ngnrng = 6!
eieei can be arranged as 5!/(3!*2!)
ngnrng can be arranged as 6!/(3!*2!)

So (1!+6 !)*5!/(3!*2!*3!*2!)
=> 4200

So no. of ways vowels not come together
=> 277200 - 4200 = 273000

Ans : 273000

Is this solution Helpfull? Yes (18) | No (4)  

Ann Theressa  (10 years ago)

1800

ENGINEERING==>E=3, N=3, G=2, I=2, R=1

ie there are 5 vowels and 6 consonants.Since no vowels should come together the possible combinations are,
1)
C V C V C V C V C V C

2)
C C V C V C V C V C V

3)
V C V C V C V C V C C

Where V represents vowel and C consonant.

(1) combination can be arranged in = 6!/(3!*2!) *5!/(3!*2!) = 600 ways

Similarly (2) and (3) combinations can be arranged in 600 ways each.

Total no. of ways letters can be arranged so that no vowel come together
= 600+600+600
=1800 ways

Is this solution Helpfull? Yes | No (4)  

Dilip sharma  (9 years ago)

6!*5!
=720*120
=86400

Is this solution Helpfull? Yes | No (1)  

Dilip sharma  (9 years ago)

ENGINEERING==>E=3, N=3, G=2, I=2, R=1

ie there are 5 vowels and 6 consonants.Since no vowels should come together the possible combinations are,
1)
C V C V C V C V C V C

2)
C C V C V C V C V C V

3)
V C V C V C V C V C C

Where V represents vowel and C consonant.

C can be arranged =6! = 720
V can be arranged =5! = 120
for three conditions 120*3= 360
therefor word ENGINEERING can be arranged so that no vowel come together = 720*360
= 259200

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.