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 3 of 6.
Soham said:
8 years ago
How many no of 7 digits can be formed with digit 1, 2, 3, 4, 3, 2, 1 so that the odd digit always occupy odd place?
Can anyone answer this?
Can anyone answer this?
Uthaya said:
7 years ago
@GANESH.
Management has 10 letters, so 10! = 3628800.
the letters m,a,n,e has repetition. So 10!/2!2!2!2! = 3628800/(2*2*2*2) = 226800.
Management has 10 letters, so 10! = 3628800.
the letters m,a,n,e has repetition. So 10!/2!2!2!2! = 3628800/(2*2*2*2) = 226800.
Kesav said:
1 decade ago
Can any one solve this problem for me?
1! + 2! + .... + 50!=?
a) 3.1035*10^64
b) 2.1021*10^65
c) 3.1035*10^63
d) 3.1035*10^62
1! + 2! + .... + 50!=?
a) 3.1035*10^64
b) 2.1021*10^65
c) 3.1035*10^63
d) 3.1035*10^62
Drushya said:
1 decade ago
@Athu.
Odd position means its like odd no.
For example : 1 2 3 4 5 6.
In this case odd position is :1 3 5 & even position : 2 4 6.
Odd position means its like odd no.
For example : 1 2 3 4 5 6.
In this case odd position is :1 3 5 & even position : 2 4 6.
Divya said:
5 years ago
@Devdp.
As per the question, Vowels can occupy only the odd position. But you have placed the vowel in even position. Explain clearly.
As per the question, Vowels can occupy only the odd position. But you have placed the vowel in even position. Explain clearly.
(5)
Nikhil said:
1 decade ago
Vowel can even be put at the 7th place, not considered above, which will increase the number of possible arrangements. Please clarify?
Babar said:
9 years ago
How there are three vowels in the word vowels? logically we cannot consider the word "vowels" as a vowel. Can anyone explain, please?
Shivam said:
10 years ago
There are 4 possible position for the vowel so why 4C3 is not included in the solution for selecting 3 position out of 4 for vowels?
Omhari said:
8 years ago
In how many ways we can arrange the alphabets of the word 'ARRANGE' such that 2a and 2r do not come together?
Please solve this.
Please solve this.
Balakrishna said:
10 years ago
Here they didn't mention about repetition allowed or not if we do this problem with repetition allowed the answer may be not 36.
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