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# the letters of the word 'SURITI' are written in all possible

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Intern
Joined: 28 Dec 2012
Posts: 1

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the letters of the word 'SURITI' are written in all possible [#permalink]

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24 Jan 2013, 09:13
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Question Stats:

100% (00:46) correct 0% (00:00) wrong based on 5 sessions

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The letters of the word 'SURITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
A - 236
B - 245
C - 307
D - 315
E - 275

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[Reveal] Spoiler: OA

Kudos [?]: [0], given: 2

Manager
Status: Helping People Ace the GMAT
Joined: 16 Jan 2013
Posts: 184

Kudos [?]: 53 [0], given: 4

Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE: Consulting (Consulting)
Re: the letters of the word 'SURITI' are written in all possible [#permalink]

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24 Jan 2013, 09:47
As a helpful hint for anyone trying to solve, this questions has many parts:

7) Identify the number of combinations that start with SURII (This is just 1)
8) Add 1 to the sum of the list above.

As a hint for number 1, the number is (2 x 5 x 4 x 3 x 2)/2! or 120
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Kudos [?]: 53 [0], given: 4

Current Student
Joined: 28 Apr 2012
Posts: 306

Kudos [?]: 465 [1], given: 142

Location: India
Concentration: Finance, Technology
GMAT 1: 650 Q48 V31
GMAT 2: 770 Q50 V47
WE: Information Technology (Computer Software)
Re: the letters of the word 'SURITI' are written in all possible [#permalink]

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24 Jan 2013, 11:00
1
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aalok26 wrote:
The letters of the word 'SURITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
A - 236
B - 245
C - 307
D - 315
E - 275

Posted from my mobile device

Total Number of Words = 6!/2! = 360 [(number of characters)/(repeating group )!]

After S, we have T and U.

Number of words starting with T = 5!/2! = 60
Number of words starting with U = 5!/2! = 60

So any word starting with S will have rank < 360 - 60(for Us) - 60(for Ts) = 240

Only option A < 240, so Answer is A.
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Kudos [?]: 465 [1], given: 142

Manager
Status: Helping People Ace the GMAT
Joined: 16 Jan 2013
Posts: 184

Kudos [?]: 53 [1], given: 4

Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 770 Q50 V46
GPA: 3.1
WE: Consulting (Consulting)
Re: the letters of the word 'SURITI' are written in all possible [#permalink]

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24 Jan 2013, 11:03
1
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Very nice way of solving as well!
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Kudos [?]: 53 [1], given: 4

Re: the letters of the word 'SURITI' are written in all possible   [#permalink] 24 Jan 2013, 11:03
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