Friday, 4 July 2014

mathematics - Get 20160 with 5 2's and any Mathematical Operator



Here is a mathematical riddle:



Find a way to get 20160 with 5 2's and any mathematical operators you want.


Have fun!


Don't forget that I said any. Feel free to look online for crazy whacky math operators :))


(..and please don't close this as too broad. It's just a fun riddle)



Answer



Uh...I don't think this'll pass as an answer but how about



$\dfrac{(2+2+2+2)!}{2} = 20160$



Lol lucky guess.



EDIT: Apparently here: A new PSE member with square reputation the OP of this question created a bounty for my already correct answer on that question because he wanted "explanation of answer" so here is my explanation:



The first thing you notice is that 20160 is not some ordinary number. It's dvisible by 8, 7, 6, 5, 4, 3, 2, 1. So first thing you do, consider factorials. Then, you realize that 20160 is exactly $8!/2$. Then, you go like whoaaa how do you calculate $8$ using 4 $2$'s and then you stare at that problem for like 5 minutes and then you facepalm and realize that it's $2+2+2+2$...done.



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