Distinct ways to put $N$ balls in $M$ boxes such that there is no more than $K$ balls in each box?
54631
Distribute $N$ objects to $K$ boxes such that no box has more than $c$ objects in it
98618
Integer partition with fixed number of summands but without order
64297
Probability that $m$ balls will fall into first box
8173
Number of ways to choose $n$ balls from $3n$ balls, distinguishable/indistinguishable.
143132
How to reverse the $n$ choose $k$ formula?
133327
N unlabelled balls in M labeled buckets
39007
Identical balls arrangement in a circle
60007
Partitions with at most k parts, each of at most l
48994
$n$ balls are thrown randomly into $k$ bins - how many are empty?
88356
Number of options to distribute $N$ different balls to $K$ numbered cells
1627
Cartesian product of an arbitrary number of sets
65764
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
24146
Number of ways to partition a rectangle into n sub-rectangles
118674
Simple upper bound for $\binom{n}{k}$
82329
Probability : balls from boxes
44214
The number of subsets of a set of cardinality $n$
9009
$n$ choose $k$ where $n$ is less than $k$