Solving Brainteasers with Dice and Graphs

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Some interesting brainteasers

Starter

Four dice colored red, yellow, orange, purple are rolled. In how many ways can the product of the numbers (assuming a blue four is different from a red four) so that the numbers equal 36?

I used factorials for this one, but it will be interesting to see how you attempt your answer.

Head Scratcher

Can you find the area of the region enclosed by the graph who equation is |y-x|+|y| = 2. (x takes the value of x if x\geq0 and takes the value of -x if x<0)

These questions are designed so that anybody above the age of about 13 can answer them without much mathematical experience.

If this is a success then I will reveal the answer this time next week and come up with a new one [MONDAY 28TH DECEMBER 2009]
 
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We have a subforum devoted to brainteasers:

https://www.physicsforums.com/forumdisplay.php?f=33
 


Thanks, I didn't see, but now I know.
 
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