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

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In a puzzle game, Tran was given the word STRUM. How many un [#permalink] New post 08 May 2018, 11:37
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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
[Reveal] Spoiler: OA

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Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink] New post 08 May 2018, 19:47
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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?
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Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink] New post 09 May 2018, 09:55
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Yes. Absolutely right.

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Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink] New post 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
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Re: In a puzzle game, Tran was given the word STRUM. How many un [#permalink] New post 04 Dec 2018, 07:03
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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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Re: In a puzzle game, Tran was given the word STRUM. How many un   [#permalink] 04 Dec 2018, 07:03
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