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In a puzzle game, Tran was given the word STRUM. How many un

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 18754

GRE 1: Q160 V160

In a puzzle game, Tran was given the word STRUM. How many un [#permalink]

08 May 2018, 11:37

Expert Reply

00:00

Question Stats:

80% (00:31) correct

20% (01:12) wrong

based on 15 sessions

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In a puzzle game, Tran was given the word STRUM. How are many unique three-letter arrangements possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240

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kruttikaaggarwal

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Joined: 27 Feb 2017

Posts: 188

Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink]

08 May 2018, 19:47

Just to make sure I did this right: To form a 3 letter word from availabe 5 letters, it will be 5*4*3=60, right?

Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 18754

GRE 1: Q160 V160

Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink]

09 May 2018, 09:55

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Yes. Absolutely right.

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anversha

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Joined: 26 Oct 2018

Posts: 8

Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink]

04 Dec 2018, 03:27

Hi, I have doubt. The question asked for unique 3 letter arrangement. Means the same words should not repeat.

o find the number of different words = 9*8*7 / 3*2*1 = 10. Please share your comments

chetan2u

Supreme Moderator

Joined: 01 Nov 2017

Posts: 371

Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink]

04 Dec 2018, 07:03

Expert Reply

anversha wrote:

Hi, I have doubt. The question asked for unique 3 letter arrangement. Means the same words should not repeat.

o find the number of different words = 9*8*7 / 3*2*1 = 10. Please share your comments

No, that won't be correct..

By doing 5*4*3/3*2*1, you will get selection of 3 letters and not arrangements..
So you get 10 selection, and each selection has three different letters which can be further arranged in 3! Ways, so 10*3!=60
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