Solving Brainteasers with Dice and Graphs

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The discussion presents two brainteasers involving dice and graphs. The first challenge asks how many combinations of four colored dice can yield a product of 36, with an emphasis on using factorials for the solution. The second problem involves calculating the area enclosed by a specific graph equation, which is accessible to those with basic math skills. The thread encourages participation and hints at revealing the answers the following week. Engaging with these brainteasers can enhance problem-solving skills for participants.
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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]
 
Mathematics news on Phys.org
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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