Latest TCS Aptitude Question SOLUTION: In how many ways a 11 letter word can be formed where the even places r occupied by vowels and odd places r occupied by consonants?

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In how many ways a 11 letter word can be formed where the even places r occupied by vowels and odd places r occupied by consonants?

Asked In TCS pre (10 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

Swarnali Biswas  (10 years ago)

In a 11 letter words the odd places are (1,3,5,7,9,11) ..and even places (2,4,6,8,10)..
vowels = 5,and consonant=21
So,We can place vowels in 5 even places by 5! ways...
Now,to fill remaining places ,the 6 consonant can be chosen from 21 by 21c6 ways..and they can be arranged as 6! ways..

So,Number of Ways=5!*21c6*6!

Is this solution Helpfull? Yes (51) | No (4)  

saurabh agarwal  (10 years ago)

21^6*5^5 ans.if letters are repeted.
21*20*19*18*17*16*5*4*3*2*1 ans if letters are not repeted.

Is this solution Helpfull? Yes (25) | No (3)  

subham  (10 years ago)

5p5 * 21p6

Is this solution Helpfull? Yes (8) | No   

Pritesh Saurav  (10 years ago)

1. if repetition is allowed
ans= 5^5*21^6
2. if repetition is not allowed
ans= 5!*21C6*6!

Is this solution Helpfull? Yes (2) | No   

ira upadhyay  (10 years ago)

if its not mention then it would be like replication is allowed
21^6*5^5

Is this solution Helpfull? Yes (1) | No   

Swati Gokhale  (10 years ago)

5 even places and 6 odd places
5 vowels can be arranged in 5! ways and 21 consonants can be arranged in 21P6 ways
hence total = 5! * 21P6

Is this solution Helpfull? Yes (1) | No   

Anil Kumar  (10 years ago)

when repitation not allowed 5!*21c6*6!
,,,,,,,,,,,,,,,, allowed 5!*5!*5!*5!*5!*6*6!

Is this solution Helpfull? Yes | No (1)  

parvez sajjad  (10 years ago)

5!*6!=86400(ans)

Is this solution Helpfull? Yes | No (1)  

shahnaz  (10 years ago)

21!6!/5!*5!
this will be the answer

Is this solution Helpfull? Yes | No   

sudeshna seal  (10 years ago)

5!*6!
5 vowels can be arranged in 5! ways..
6 consonants which are already fixed can be arranged in 6! ways
so 5!*6!

Is this solution Helpfull? Yes | No   

Guru Pranav  (10 years ago)

21^6*5^5

Is this solution Helpfull? Yes | No (1)  

Tapas  (9 years ago)

5!*21c6*6!*11!

Is this solution Helpfull? Yes | No   

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