Number of ways to distribute $N$ distinct objects into $M$ distinct boxes?
158381
Distinct balls into distinct boxes
55924
How many distinct functions can be defined from set A to B?
57822
Number of ways to choose two disjoint subsets of a set
106397
Counting ways to partition a set into fixed number of subsets
137072
Number Of Distinct Paths In A Rectangular Grid
61572
Evenly distributing n points on a sphere
140858
Number of ways to choose 6 objects when they are of 11 different kinds
98618
Integer partition with fixed number of summands but without order
24146
Number of ways to partition a rectangle into n sub-rectangles
107614
Partitioning an infinite set
21754
Partition a set into subsets of size $k$
113953
Circular permutations with indistinguishable objects
77171
How to find unique multisets of n naturals of a given domain and their numbers?
65764
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
104010
The number of partitions of $n$ into distinct parts equals the number of partitions of $n$ into odd parts
55840
Number of functions from n-element set to {1, 2, …, m}
11876
Probability of complete coupon set in $K$ boxes where a box has $N$ distinct coupons?