Created
February 3, 2024 00:44
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AIME 2024 4
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| x<-0:9 | |
| n<-4 | |
| N<-100000 | |
| atleasttwomatch<- 0 | |
| allfourmatch<-0 | |
| for(i in 1:N) { | |
| a<-sample(x,n) | |
| b<-sample(x,n) | |
| s<-length(a[is.element(a, b)]) | |
| if (s > 1) { | |
| atleasttwomatch <- atleasttwomatch+1 | |
| if (s == n) { | |
| allfourmatch <- allfourmatch + 1 | |
| } | |
| } | |
| } | |
| print(allfourmatch/atleasttwomatch) |
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| https://artofproblemsolving.com/wiki/index.php/2024_AIME_I_Problems/Problem_4 | |
| > 1/115 | |
| [1] 0.008695652 | |
| Above code gives: | |
| [1] 0.008576799 |
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