Ginger
Reputation
Top tag
Next privilege 250 Rep.
 Aug8 comment How to count the $r$-tuples of subsets of $\{1,\dots,n\}$ that are cyclically disjoint? Yes, that is right! 12 was a mistake. Aug8 comment How to count the $r$-tuples of subsets of $\{1,\dots,n\}$ that are cyclically disjoint? And I know the next is 12, so the sequence is 2,3,4,7, 12,... Aug8 comment How to count the $r$-tuples of subsets of $\{1,\dots,n\}$ that are cyclically disjoint? a nice view, thanks. Aug7 comment How to count the $r$-tuples of subsets of $\{1,\dots,n\}$ that are cyclically disjoint? no, the condition is not Si∩Sj=∅ for any i and j, but for j=i+1 and so on. Aug7 asked How to count the $r$-tuples of subsets of $\{1,\dots,n\}$ that are cyclically disjoint? Jul22 comment How many different choice of sets? This is very clear, thank you! Jul22 comment How many different choice of sets? this is definitely true, but the problem is how to simplify it. Jul19 awarded Curious Jul18 comment How many different choice of sets? could you please explain a bit why is that? Jul18 comment How many different choice of sets? $i≠j⇒Si∩Sj=∅$ is not demanded. Only when $i=j+1,Si∩Sj=∅$ is demanded. And permutations of $S_i$ is counted. Jul18 revised How many different choice of sets? deleted 2 characters in body Jul18 awarded Commentator Jul18 comment How many different choice of sets? Sorry I do forget to add the condition that S_i is nonempty. But I do not think the first answer is correct anyway. Jul18 revised How many different choice of sets? added 30 characters in body Jul18 asked How many different choice of sets? Jul16 revised How many positive integer solutions are there to the inequality $x_1+x_2+…+x_r\le n$? added 122 characters in body Jul16 comment How many positive integer solutions are there to the inequality $x_1+x_2+…+x_r\le n$? smart answer! Thank you! Jul16 asked How many positive integer solutions are there to the inequality $x_1+x_2+…+x_r\le n$? Jan25 answered edge coloring of a specific graph Jan24 comment edge coloring of a specific graph Yes, Hagen's explanation is what I really mean.