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In a puzzle game, Tran was given the word STRUM. How many un
[#permalink]
08 May 2018, 11:37
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
A. 15
B. 60
C. 90
D. 120
E. 240
Re: In a puzzle game, Tran was given the word STRUM. How many un
[#permalink]
08 May 2018, 19:47
08 May 2018, 19:47
1
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?
Re: In a puzzle game, Tran was given the word STRUM. How many un
[#permalink]
09 May 2018, 09:55
09 May 2018, 09:55
Expert Reply
Yes. Absolutely right.
Regards
Regards
Re: In a puzzle game, Tran was given the word STRUM. How many un
[#permalink]
04 Dec 2018, 03:27
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
o find the number of different words = 9*8*7 / 3*2*1 = 10. Please share your comments
Re: In a puzzle game, Tran was given the word STRUM. How many un
[#permalink]
04 Dec 2018, 07:03
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
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
_________________
Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html
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