Analytical - If a die is marked according like that 1-6, 2-5,3-4 comes apposite to eachother, what is the number

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Analytical | Question 83 of 135

If a die is marked according like that 1-6, 2-5,3-4 comes apposite to each
other, what is the number of combination that a die can be marked?

Total Answers and Comments: 4

Last Update: May 13, 2006 Asked by: sambath

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January 31, 2006 07:21:54

Harry

RE: If a die is marked according like that 1-6, 2-5,3-...

at first to place 1 we have 6 choices. then to place 6 only one .

later to place 2 we have 4 choices and to place 5 only one.

finally to place 3 we have 2 choices and to place 4 only one.

so total chances to arange them is 6*1*4*1*2*1 48.

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March 02, 2006 21:07:42

G@0

RE: If a die is marked according like that 1-6, 2-5,3-...

In fact I think there's only 2 combinations.

Plz remember a die is 3D symmetric that makes it tricky.

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April 05, 2006 07:20:58

Rajiv

RE: If a die is marked according like that 1-6, 2-5,3-...

Can you please elaborate how did u come to this conclusion that there are only 2 ways to arrange the combinations of 1-6 2-5 3-4

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May 13, 2006 06:43:05

Sravya

RE: If a die is marked according like that 1-6, 2-5,3-...

Hi all The answer should be 7. As specified in the question one combination is 1-6 2-5 and 3-4. Now fixing 1-6 the possible different combinations are 1-6 2-3 4-5 and 1-6 2-4 3-5 Now fixing 2-5 the possible different combinations are 2-5 1-3 4-6 and 2-5 1-4 2-6 Now fixing 3-4 the possible different combinations are 3-4 1-2 6-5 and 3-4 1-5 6-2. Since for a dice have 1-6 in opposite is same as having 6-1. Hope its clearThanks Sravya:)

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