Wednesday, November 29, 2017

mathematics - Use 2 0 1 and 8 to make 67


Use 2 0 1 and 8 to make the number 67


RULES




  1. You must use all 4 digits. Only the digits 2, 0, 1, and 8 can be used. You can make multi-digit numbers out of the numbers. Examples: 20, 82, 2.8




  2. The square function may NOT be used. Nor may the cube, raise to a fourth power, or any other function that raises a number to a specific power. You may use the ^ operation if you use a digit, for example, [(8 + 1)^2 - 0!] is acceptable (if you're trying to get 80), because 2, 0, 1, and 8 is used. However, [20 ^ 2 / 8 + 1] can't be used to get 51 because it uses an extra 2.





  3. Sorry, but the integer function may NOT be used. Nor may the round, floor, ceiling, or truncate functions.




  4. +, -, *, /, (), !, sqrt, ^, and !! may be used for functions.




Please no brute-force methods. Good luck.


I see that there are many answers. I like #3 because it doesn't use more than 2 factorials, but the most upvoted one gets the credit.


Wow! You guys are good!




Answer



How about:



(8!!!!+1)×2+0!=(84+1)×2+1=(32+1)×2+1=33×2+1=66+1=67



and similarly, with the digits in order:



20!!!!!!!!!!!!!!!!!1+8, where 20!(17)=203=60.



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