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The letters of word LABOUR ARE permuted in all possible ways and the

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Joined: 10 Jan 2011
Posts: 14
Location: India
Schools: ISB, IIM-A
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The letters of word LABOUR ARE permuted in all possible ways and the  [#permalink]

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New post 19 Jun 2011, 19:49
1
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A
B
C
D
E

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  25% (medium)

Question Stats:

78% (01:59) correct 22% (02:00) wrong based on 24 sessions

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The letters of word LABOUR ARE permuted in all possible ways and the words thus formed are arranged in alphabetical order, then wht is the rank of word labour?

a) 400
b) 242
c) 152
d) 340

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Re: The letters of word LABOUR ARE permuted in all possible ways and the  [#permalink]

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New post 19 Jun 2011, 21:40
L A B O U R
_ _ _ _ _

There are 6 letters in all. if all permutations are arranged alphabetically, then all words starting with A and B will be before LABOUR.
Words starting with A = A 5*4*3*2*1 = 120(First letter can be filled in one way (A), 2nd letter can be filled in 5 ways.. and so on). Note that here arrangement matters and there are no repeated letters that we need to worry about.

Similarly, all words starting with B = B 5*4*3*2*1 = 120

So till now we have 120 + 120 = 240 words in alphabetical order before words starting with L.

the 241st word will be LABORU and the 242nd word will be LABOUR.

Hence Ans = B
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Re: The letters of word LABOUR ARE permuted in all possible ways and the  [#permalink]

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New post 08 Sep 2018, 04:13
ITMRAHUL wrote:
The letters of word LABOUR ARE permuted in all possible ways and the words thus formed are arranged in alphabetical order, then wht is the rank of word labour?

a) 400
b) 242
c) 152
d) 340


Not able to understand this question, can body provide a detailed solution to this question. Thank you.
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Re: The letters of word LABOUR ARE permuted in all possible ways and the &nbs [#permalink] 08 Sep 2018, 04:13
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