Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 12)
12.
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Answer: Option
Explanation:
'LOGARITHMS' contains 10 different letters.
| Required number of words | = Number of arrangements of 10 letters, taking 4 at a time. |
| = 10P4 | |
| = (10 x 9 x 8 x 7) | |
| = 5040. |
Discussion:
68 comments Page 3 of 7.
Santhosh said:
9 years ago
I have a problem can anyone help me to solve this.
The no of the distinct permutations of the letters in the word"MISSISSIPPI" such that four I's do not come together.
The no of the distinct permutations of the letters in the word"MISSISSIPPI" such that four I's do not come together.
Appu said:
1 decade ago
I have one doubt that why permutation is used?.
Here mention that repetation not allowed. Permutation is allowed this that is, ab, ba is allowed.
Can anyone help me.
Here mention that repetation not allowed. Permutation is allowed this that is, ab, ba is allowed.
Can anyone help me.
(1)
Haribabu said:
1 decade ago
Why are you taking 10c4 so many ways like 10c2, 10c5?
If I take total 10 letters, so I calculate 10! = (10*9*8*7*6*5*4*3*2*1).
So please explain clearly.
If I take total 10 letters, so I calculate 10! = (10*9*8*7*6*5*4*3*2*1).
So please explain clearly.
Onkar said:
1 decade ago
We can't use permutation here because they have mentioned that no repetition is permissible and in 4 number word only possible solution is 210. 10C4 = 210.
Vimal said:
1 decade ago
I am not clear with this. They gave a condition that repetition is not allowed. when we use 10p4, (i.e. is permutation) it satisfy the given condition?
Yazhini said:
1 decade ago
! implies that it is a multiplication sign up to 1. It is neither a permutation nor a combination. For ex 4! implies that 4*3*2*1=24. is it clear guy?
Pritesh said:
1 decade ago
After Selecting the letters in(10 * 9 * 8 * 7) ways those letters can be re-arrange in 4! ways.....
So, according to me answer should be 5040 * 4!
So, according to me answer should be 5040 * 4!
Sathya said:
1 decade ago
Permutation = when ordering is considered.
(means here to form a word ordering is important).
Whereas in
Combination - ordering is not considered.
(means here to form a word ordering is important).
Whereas in
Combination - ordering is not considered.
Santhosh said:
1 decade ago
I have so much confusion at the answering problem,
"where we use the permutation formula and combination formula"?
Please anyone tell me.
"where we use the permutation formula and combination formula"?
Please anyone tell me.
AISH said:
1 decade ago
If position of word matter (no repetition allowed) Then we have to use permutation.
And if no position matter we have to use combination.
And if no position matter we have to use combination.
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