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 6 of 9.

Veenita said:   1 decade ago
First the word letter it can come in 5 different ways and the word letter have 6 words.

Gopal said:   1 decade ago
I have a similar doubt,

I have 2 each of 24 different colors, how many 12 color combinations are possible?

Pri said:   1 decade ago
Actually 6 letter so we got 6*5*4*3*2*1= 720 but e 2 time repeated so we divided 720/2=360.

Harish said:   1 decade ago
In how many different way can the letters of the word CREAM arranged.

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

Swapnil said:   1 decade ago
In this letter e repeated twice.
So that in permutation swapping of e letter.
Does not form new word and so they are counted.
Once at every case so divided by 2!.

Mancy said:   1 decade ago
Hi @Thokie,

Q: There are 9 switches in a fuse box, how many different arrangements are there?
Ans: 2 2 2 2 2 2 2 2 2.

Each switch has two possible, on or off placing a 2 in each of the 9 position.
So, we have
2 raise to the power 9 = 512.

So it means there are 512 different arrangements can be done.

Hope this'll help.

Thokie said:   1 decade ago
There are 9 switches in a fuse box, how many different arrangements are there?

Sankari said:   1 decade ago
In how many ways ELECTION can be arranged so that the vowels occupy the odd places.

Ashwini said:   1 decade ago
Hi @Pavithra the word LEADER has repeated letter 'E' twice so 6!/2! = 6*5*4*3 = 360.


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