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A word is defined as a sequence of three dots arranged in a row.

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A word is defined as a sequence of three dots arranged in a row.  [#permalink]

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New post Updated on: 13 Feb 2015, 04:38
1
4
00:00
A
B
C
D
E

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Question Stats:

73% (00:53) correct 27% (00:48) wrong based on 104 sessions

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A "word" is defined as a sequence of three dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?

A 3
B 5
C 6
D 8
E 9

I know it is a question on permutations but the problem is that for me it is a tricky question.

Thank you in advance

Originally posted by gmatmania17 on 13 Feb 2015, 03:40.
Last edited by Bunuel on 13 Feb 2015, 04:38, edited 1 time in total.
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Re: A word is defined as a sequence of three dots arranged in a row.  [#permalink]

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New post 13 Feb 2015, 04:32
1
hi,
there are two ways of possibilities..
1) all three same colour- YYY or BBB- 2 ways
2) two of one colour and one of different colour- 3!/2!-3ways..
now two /one could be Y/B or B/Y.... so 3*2=6..

total 6+2=8 ans D
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Re: A word is defined as a sequence of three dots arranged in a row.  [#permalink]

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New post 13 Feb 2015, 04:40
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1
gmatmania17 wrote:
A "word" is defined as a sequence of three dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?

A 3
B 5
C 6
D 8
E 9

I know it is a question on permutations but the problem is that for me it is a tricky question.

Thank you in advance


***
Each dot can be either yellow or blue, so 2 options for each dot: 2*2*2 = 8.

Answer: D.

Hope it's clear.
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Re: A word is defined as a sequence of three dots arranged in a row.  [#permalink]

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New post 20 Jun 2015, 13:21
I used brutal force method and got the answer. If "y" is a yellow dot and "b" is a blue dot than we have a following combinations. yyy,bbb, ybb,byb,bby,yyb,byy,yby. Hence answer is D
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Re: A word is defined as a sequence of three dots arranged in a row.  [#permalink]

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New post 20 Jun 2015, 17:56
Hi All,

This question is a variation on the traditional "coin-flip" question. Each dot has 2 options (the same way that a coin has two sides) and we're asked to deal with arranging 3 dots (the same way that we would be asked to deal with 3 coin flips).

Since each dot has 2 options, there are (2)(2)(2) = 8 different options of 3 dots.

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Re: A word is defined as a sequence of three dots arranged in a row.  [#permalink]

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Re: A word is defined as a sequence of three dots arranged in a row. &nbs [#permalink] 02 Oct 2018, 01:34
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