Finding number of unordered $k$-tuples from a given $n$-tuple.
Suppose we are given $n$ different objects.
I wanted to find the number of unordered $k$-tuples with entries from this set of objects and with repetition allowed for arbitrary $k$.
It turns out that it is not that easy and I'm finding it hard to find a closed form formula or at least something in terms of an elementary function.
Can someone help me on this one?
combinatorics
edited Nov 30 at 4:54
user376343
2,7782822
asked Nov 30 at 4:44
Lorenc Bushi
1
add a comment |
Suppose we are given $n$ different objects.
I wanted to find the number of unordered $k$-tuples with entries from this set of objects and with repetition allowed for arbitrary $k$.
It turns out that it is not that easy and I'm finding it hard to find a closed form formula or at least something in terms of an elementary function.
Can someone help me on this one?
combinatorics
edited Nov 30 at 4:54
user376343
2,7782822
asked Nov 30 at 4:44
Lorenc Bushi
1
Welcome to math stackexchange! You'll get a better response if you format your question using MathJax. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– platty
Nov 30 at 4:51
1
You'll find an answer here math.stackexchange.com/questions/208377/…
– user376343
Nov 30 at 4:57
You might be interested in "multisets": en.wikipedia.org/wiki/Multiset
– awkward
Nov 30 at 16:19
add a comment |
Suppose we are given $n$ different objects.
I wanted to find the number of unordered $k$-tuples with entries from this set of objects and with repetition allowed for arbitrary $k$.
It turns out that it is not that easy and I'm finding it hard to find a closed form formula or at least something in terms of an elementary function.
Can someone help me on this one?
combinatorics
edited Nov 30 at 4:54
user376343
2,7782822
asked Nov 30 at 4:44
Lorenc Bushi
1
Suppose we are given $n$ different objects.
I wanted to find the number of unordered $k$-tuples with entries from this set of objects and with repetition allowed for arbitrary $k$.
It turns out that it is not that easy and I'm finding it hard to find a closed form formula or at least something in terms of an elementary function.
Can someone help me on this one?
combinatorics
combinatorics
edited Nov 30 at 4:54
user376343
2,7782822
asked Nov 30 at 4:44
Lorenc Bushi
1
edited Nov 30 at 4:54
user376343
2,7782822
asked Nov 30 at 4:44
Lorenc Bushi
1
edited Nov 30 at 4:54
user376343
2,7782822
edited Nov 30 at 4:54
user376343
2,7782822
edited Nov 30 at 4:54
user376343
2,7782822
2,7782822
asked Nov 30 at 4:44
Lorenc Bushi
1
asked Nov 30 at 4:44
Lorenc Bushi
1
asked Nov 30 at 4:44
Lorenc Bushi
1
1
Welcome to math stackexchange! You'll get a better response if you format your question using MathJax. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– platty
Nov 30 at 4:51
1
You'll find an answer here math.stackexchange.com/questions/208377/…
– user376343
Nov 30 at 4:57
You might be interested in "multisets": en.wikipedia.org/wiki/Multiset
– awkward
Nov 30 at 16:19
add a comment |
Welcome to math stackexchange! You'll get a better response if you format your question using MathJax. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– platty
Nov 30 at 4:51
1
You'll find an answer here math.stackexchange.com/questions/208377/…
– user376343
Nov 30 at 4:57
You might be interested in "multisets": en.wikipedia.org/wiki/Multiset
– awkward
Nov 30 at 16:19
Welcome to math stackexchange! You'll get a better response if you format your question using MathJax. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– platty
Nov 30 at 4:51
Welcome to math stackexchange! You'll get a better response if you format your question using MathJax. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– platty
Nov 30 at 4:51
1
1
You'll find an answer here math.stackexchange.com/questions/208377/…
– user376343
Nov 30 at 4:57
You'll find an answer here math.stackexchange.com/questions/208377/…
– user376343
Nov 30 at 4:57
You might be interested in "multisets": en.wikipedia.org/wiki/Multiset
– awkward
Nov 30 at 16:19
You might be interested in "multisets": en.wikipedia.org/wiki/Multiset
– awkward
Nov 30 at 16:19
add a comment |
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Welcome to math stackexchange! You'll get a better response if you format your question using MathJax. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to.
– platty
Nov 30 at 4:51
1
You'll find an answer here math.stackexchange.com/questions/208377/…
– user376343
Nov 30 at 4:57
You might be interested in "multisets": en.wikipedia.org/wiki/Multiset
– awkward
Nov 30 at 16:19