multichoose but limit the duplicates
$begingroup$
"n choose k" is how many combinations of: k-sized elements from n unique choices.
"n multichoose k" is how many k-sized elements from n choices, where full multiplicity is allowed (that is, {a, b, c} choose 3 can have {a, a, a}).
How do we calculate "n choose k by m" where we allow only m duplicates?
combinatorics
asked Dec 21 '18 at 2:06
pixelspixels
1085
$endgroup$
add a comment |
$begingroup$
"n choose k" is how many combinations of: k-sized elements from n unique choices.
"n multichoose k" is how many k-sized elements from n choices, where full multiplicity is allowed (that is, {a, b, c} choose 3 can have {a, a, a}).
How do we calculate "n choose k by m" where we allow only m duplicates?
combinatorics
asked Dec 21 '18 at 2:06
pixelspixels
1085
$endgroup$
$begingroup$
What do you mean by $n$ choose $k$ by $m$?
$endgroup$
– Prakhar Nagpal
Dec 21 '18 at 4:23
add a comment |
$begingroup$
"n choose k" is how many combinations of: k-sized elements from n unique choices.
"n multichoose k" is how many k-sized elements from n choices, where full multiplicity is allowed (that is, {a, b, c} choose 3 can have {a, a, a}).
How do we calculate "n choose k by m" where we allow only m duplicates?
combinatorics
asked Dec 21 '18 at 2:06
pixelspixels
1085
$endgroup$
"n choose k" is how many combinations of: k-sized elements from n unique choices.
"n multichoose k" is how many k-sized elements from n choices, where full multiplicity is allowed (that is, {a, b, c} choose 3 can have {a, a, a}).
How do we calculate "n choose k by m" where we allow only m duplicates?
combinatorics
combinatorics
asked Dec 21 '18 at 2:06
pixelspixels
1085
asked Dec 21 '18 at 2:06
pixelspixels
1085
asked Dec 21 '18 at 2:06
pixelspixels
1085
asked Dec 21 '18 at 2:06
pixelspixels
1085
asked Dec 21 '18 at 2:06
pixelspixels
1085
1085
$begingroup$
What do you mean by $n$ choose $k$ by $m$?
$endgroup$
– Prakhar Nagpal
Dec 21 '18 at 4:23
add a comment |
$begingroup$
What do you mean by $n$ choose $k$ by $m$?
$endgroup$
– Prakhar Nagpal
Dec 21 '18 at 4:23
$begingroup$
What do you mean by $n$ choose $k$ by $m$?
$endgroup$
– Prakhar Nagpal
Dec 21 '18 at 4:23
$begingroup$
What do you mean by $n$ choose $k$ by $m$?
$endgroup$
– Prakhar Nagpal
Dec 21 '18 at 4:23
add a comment |
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$begingroup$
What do you mean by $n$ choose $k$ by $m$?
$endgroup$
– Prakhar Nagpal
Dec 21 '18 at 4:23