Aptitude - Permutation and Combination - Discussion

Discussion Forum : Permutation and Combination - General Questions (Q.No. 5)
5.
In how many ways can the letters of the word 'LEADER' be arranged?
72
144
360
720
None of these
Answer: Option
Explanation:

The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.

Required number of ways = 6! = 360.
(1!)(2!)(1!)(1!)(1!)

Video Explanation: https://youtu.be/2_2QukHfkYA

Discussion:
84 comments Page 5 of 9.

Praveen said:   1 decade ago
We can't divide by 2 may be what not 5!?

Sonu said:   1 decade ago
Ritu explain it in a very gooo way thanks a lot ritu.

Asam said:   7 years ago
Please explain this.

Manish said:   8 years ago
If vowels point is given then vowel to be treated as one-word & if that one word contains repeat letters they must be divided.

For eg- eeo.
3!/2!.

Manish said:   8 years ago
7 letters out of which 2 letters are repeated.

Therefore 7!/2!

RDG said:   8 years ago
Sometimes vowel sometimes that way nothing could be understood please explain in sequence. And introduce the differences of combina and permu. Try to teach from a novice perspective.

Shwetha said:   8 years ago
Hello, @All.

In this question it means like how many ways (it means without repetition of letters) the "LEADER" letter can be arranged it supposed to be 6!=720. If the question is like how many different ways (with repetition of letters) can letter "LEADER" arranged then 6!/2! (2! is because of E letter repetition) = 360.

Hence the solution for this problem should be 720 as per my knowledge.

Lavanya said:   8 years ago
Without mentioning why did they do with repetition.

Why can't we do without repetition?

Fritz said:   1 decade ago
This problem is combination or permutation ?

Yusuf said:   1 decade ago
Why not sometime division and sometime by considering vowel?


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