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In a puzzle game, Tran was given the word STRUM. How many un
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06 Apr 2019, 09:57
06 Apr 2019, 09:57
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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
A. 15
B. 60
C. 90
D. 120
E. 240
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In a puzzle game, Tran was given the word STRUM. How many un
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06 Apr 2019, 10:29
06 Apr 2019, 10:29
Carcass 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
A. 15
B. 60
C. 90
D. 120
E. 240
NOTE: This question isn't well-worded, since it's not clear whether we can use a letter more that once (e.g., SMM)
The official answer suggests that NO LETTERS CAN BE REPEATED, so let's go with that.
Take the task of creating 3-letter words and break it into stages.
Stage 1: Choose a letter (from STRUM) for the 1st letter
There are 5 letters from which to choose. So, we can complete this stage in 5 ways
Stage 2: Choose a letter for the 2nd letter
There are 4 letters REMAINING from which to choose. So, we can complete this stage in 4 ways
Stage 3: Choose a letter for the 3rd letter
There are 3 letters REMAINING. So, we can complete this stage in 4 ways
By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and thus create a 3-letter word) in (5)(4)(3) ways (= 60 ways)
Answer: B
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
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In a puzzle game, Tran was given the word STRUM. How many un [#permalink]
06 Apr 2019, 10:29
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