arrangement probelm

Probability Level 1

In how many ways can the letters of the word 'LEADER' be arranged


The answer is 360.

Prajwal Kavad by Prajwal Kavad , 24, India

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1 solution

Prajwal Kavad
Mar 27, 2014

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

Required number of ways = ( 6! /(2!)) =360

9 Helpful 0 Interesting 0 Brilliant 0 Confused

Getting the number of ways of arranging the letters of a word is n! where n is the number of words in the letter:6!.But in the word LEADER the letter E is repeated so there are 2! ways of arranging E.Divide the two out.6!/2!=360

Erick Oyugi - 7 years, 1 month ago

What's the logic? Explanation Required

Fayz Ahmad - 7 years, 2 months ago

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logic is that e is repeted so its devided from total

Rajnish Kaushik - 7 years, 1 month ago

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where does 360 come from it is 3 if we divide 6 by 2

Fatima Aria - 7 years, 1 month ago

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@Fatima Aria – its 6 factorial/2 factorial and mot 6/2 -_-

Rajnish Kaushik - 7 years, 1 month ago

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