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

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

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New post 07 Apr 2019, 21:17
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A
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C
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E

Difficulty:

  15% (low)

Question Stats:

76% (00:51) correct 24% (01:01) wrong based on 90 sessions

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

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New post 08 Apr 2019, 00:45
Bunuel wrote:
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240


total characters ; 5
and 3 letter which can be arranged with replacement ; 5*4*3 ; 60
IMO B
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three  [#permalink]

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New post 04 Jun 2019, 08:00
1
Bunuel wrote:
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240


why repetitions are not allowed. It can be 5*5*5 = 125 also.
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three  [#permalink]

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New post 04 Jun 2019, 09:57
IIMC wrote:
Bunuel wrote:
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240


why repetitions are not allowed. It can be 5*5*5 = 125 also.


IIMC ; see highlighted part
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three  [#permalink]

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New post 04 Jun 2019, 19:36
Number of unique three-letter arrangements are possible using the letters of the STRUM
= 5C3*3!
=10*6=60

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

A. 15

B. 60

C. 90

D. 120

E. 240
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three  [#permalink]

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New post 04 Jun 2019, 21:15
Archit3110 wrote:
IIMC wrote:
Bunuel wrote:
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240


why repetitions are not allowed. It can be 5*5*5 = 125 also.


IIMC ; see highlighted part


THAT DOESNT MEAN IT SAYING NO REPETITION.?
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three  [#permalink]

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New post 06 Sep 2019, 05:26
nick1816 wrote:
Number of unique three-letter arrangements are possible using the letters of the STRUM
= 5C3*3!
=10*6=60

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

A. 15

B. 60

C. 90

D. 120

E. 240



Hi Can you please tell me why did we multiply after 5C3 with 3! ?? and why is not 5P3?
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three  [#permalink]

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New post 06 Sep 2019, 05:39
1
We can directly find the permutations by using 5P3=\(\frac{5!}{(5-3)!}\)=60

Or
We can choose 3 distinct letters from STRUM. Number of ways= 5C3. Then, we arrange those 3 letters. Total possible arrangements of 3 letters= 3!
Total unique three-letter arrangements possible= 5C3*3!=60

ankitprad wrote:
nick1816 wrote:
Number of unique three-letter arrangements are possible using the letters of the STRUM
= 5C3*3!
=10*6=60

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

A. 15

B. 60

C. 90

D. 120

E. 240



Hi Can you please tell me why did we multiply after 5C3 with 3! ?? and why is not 5P3?
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Re: In a puzzle game, Tran was given the word STRUM. How many unique three   [#permalink] 06 Sep 2019, 05:39
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