Probability of putting m balls into $N$ compartments.
64297
Probability that $m$ balls will fall into first box
111954
Computing the cardinality of a combinatorial set
1571
Balls and Urn Paradox
138304
getting tight bounds on n!
138781
Picking random points in the volume of sphere with uniform probability
19101
Permutation induced by a partition
67817
Number of ways to distribute 5 distinguishable balls between 3 kids such that each of them gets at least one ball
82025
The Probability $P_{[m]}$ that exactly $m$ among the $N$ events $A_1,\dots,A_N$ occur simultaneously
96086
Double Factorial: Number of possibilities to partition a set of $2n$ items into $n$ pairs
51981
What is the probability of n people from a list of m people being in a random selection of x people from a list of y people?
28796
Use the Inclusion-Exclusion Principle to show that for any non-negative integers $m, r, n$ such that $m≤r≤n$...
115717
In how many ways can 4 unlabeled blue balls and 2 unlabeled red balls be packed in 5 different boxes?
70761
Number of ways to connect sets of $k$ dots in a perfect $n$-gon
35859
Conditional Probability: Black and White Balls
39005
Probability that a number has $m$ indistinct factors
139398
Distribution of $n\choose x$
82329
Probability : balls from boxes