Number of ways to seat $n_i$ people around a round table with $n$ seats $\bigl(n_i \lt n \bigl)$
122539
Arrange $m$ people in $m+r$ seats around a round table.
8173
Number of ways to choose $n$ balls from $3n$ balls, distinguishable/indistinguishable.
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle
17117
What is the number of seating plans?
46999
How many fixed points in a permutation
33639
In how many ways can $2n$ players be paired?
147901
Show that, in a group of n people, everyone has the same number of friends if..
40852
Number of ways of distributing $n$ identical objects among $r$ groups
60416
Finding a permutation, and number of, from powers of the permutation
107010
How many elements of order $k$ are in $S_n$?
138304
getting tight bounds on n!
6432
How many ways can N elements be partitioned into subsets of size K?
87431
$n-$circular arrangement problem
146098
Number of nonempty subsets of a set with $n$ elements
97265
count the ways to fill a $4\times n$ board with dominoes
68882
Path to Combinatorics Problem [$1.11$]
51847
Showing that only $(n+1)^{n-1}$ of all the possible $n^n$ choices assure a full car park