Difference between revisions of "Random Problem"
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Mathboy100 (talk | contribs) (→Medium Problem) |
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== Medium Problem == | == Medium Problem == | ||
| − | Show that there | + | Show that there exist no finite decimals <math>a = 0.\overline{a_1a_2a_3\ldots a_n}</math> such that when its digits are rearranged to a different decimal <math>b = 0.\overline{a_x_1a_x_2a_x_3\ldots a_x_n}</math>, <math>a + b = 1</math>. |
| + | |||
| + | ==Solution== | ||
| + | ??? | ||
Revision as of 11:06, 30 January 2023
Easy Problem
The sum![\[\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\cdots+\frac{2021}{2022!}\]](http://latex.artofproblemsolving.com/7/2/6/726b88e230d5c0a0303ef6ca7177fa73b7eec900.png)
can be expressed as 
, where 
and 
are positive integers. What is 
?
Solution
???
Medium Problem
Show that there exist no finite decimals 
such that when its digits are rearranged to a different decimal $b = 0.\overline{a_x_1a_x_2a_x_3\ldots a_x_n}$ (Error compiling LaTeX. Unknown error_msg), 
.
Solution
???
