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?
40
400
5040
2520
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 5 of 7.

PRABHA said:   2 decades ago
I HAVEA DOUDT : 1O C P MEANS 10X9X8X7/(1X2X3X4)

Shivam said:   1 decade ago
I'm confused for in which question we do permutation and combination. I have used combination in this question but I was wrong. But some other questions which as same as this question solved by combination. Why did you use permutation on this?

Preethi said:   1 decade ago
Why we used permutations here and why not combinations.
Please explain clearly when we use npr and when we use ncr.

Vaishali.n said:   1 decade ago
How to know whether to use permutation or combination?

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.

Timothy Githinji said:   1 decade ago
I'm also wondering why we are using permutations here. According to the question no order is required.

Kuldeep vijay said:   1 decade ago
Yes, when repetitions not allowed it is an ordering condition.

Hansh said:   1 decade ago
Why you have used permutation here? please tell me the repetions of 4 letters concept?

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.

Chandani said:   1 decade ago
When we form LOGA and AGOL it is permutation but in combination we don't write like r, s is similar to s, r -in combination, not in permutation. So in above question we are not allowed to double the letter but are allowed to use the same letter in different words. .


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