Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 10)
10.
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Answer: Option
Explanation:
There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants.
Let us mark these positions as under:
(1) (2) (3) (4) (5) (6)
Now, 3 vowels can be placed at any of the three places, marked 1, 3, 5.
Number of ways of arranging the vowels = 3P3 = 3! = 6.
Also, the 3 consonants can be arranged at the remaining 3 positions.
Number of ways of these arrangements = 3P3 = 3! = 6.
Total number of ways = (6 x 6) = 36.
Discussion:
59 comments Page 4 of 6.
Devdp said:
10 years ago
In 3rd line permutation for why 3p3 = 3! = 6.
This small mistake done bye me in writing but answer I got is 72.
Reply anyone.
This small mistake done bye me in writing but answer I got is 72.
Reply anyone.
Jinal said:
1 decade ago
Vowels can also take position 7 (the last position) ?
V C V C V C V.
So the answer would be 3!*4C3 = 24.
Is this correct?
V C V C V C V.
So the answer would be 3!*4C3 = 24.
Is this correct?
M223 said:
9 years ago
How many ways can the word DETAIL be rearranged such that no two vowels are placed adjacently?
Please tell me the answer.
Please tell me the answer.
Manasa said:
1 decade ago
@Gayathri
In this case we are not selecting any letters. Just we are arranging the letters according to given condition.
In this case we are not selecting any letters. Just we are arranging the letters according to given condition.
Ganesh kc said:
8 years ago
I want to know the arrangement of the word "management" in how many ways can we arrange?
Can anyone answer this?
Can anyone answer this?
Sumit said:
9 years ago
In how many ways can the letter of word failure be arranged si that the consonants may occupy only odd position.
Sanif said:
9 years ago
In how many ways can the letters of the word SYSTEM be arranged so that E is always at the third position?
Avinash aswal said:
4 years ago
Here question says vowels occupy only the odd position, then what about consonants? Please clarify this.
(3)
Pinky kumari said:
9 years ago
The answer will be 36. It is correct. Because there is 3 odd place for vowel and 3 for a consonant.
Shekhar said:
8 years ago
In how many ways can the letters of the word CIVIL be rearranged? Can anyone explain?
Please.
Please.
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