Probability that exactly k bins are empty, given m balls and n bins?
48994
$n$ balls are thrown randomly into $k$ bins - how many are empty?
94784
$\sum_{k=-m}^{n} \binom{m+k}{r} \binom{n-k}{s} =\binom{m+n+1}{r+s+1}$ using Counting argument
88356
Number of options to distribute $N$ different balls to $K$ numbered cells
99435
Proof of the inclusion-exclusion formula in probability
125712
Working with binomial coefficient $\sum_{k=0}^n (-1)^k \binom nk=0$
73745
Probability that no two consecutive heads occur?
118674
Simple upper bound for $\binom{n}{k}$
27263
How many ways can $b$ balls be distributed in $c$ containers with no more than $n$ balls in any given container?
114115
Probability: $n$ balls into $n$ holes with exactly one hole remaining empty
117761
When is $\binom{n}{k}$ divisible by $n$?
136188
Drawing balls with replacement - Probability
77243
Probability of sampling with and without replacement
135663
Probability that a sequence of random variables converges to 0 or 1
17834
Calculating the optimal number of bins for severely skewed data
107964
Simple combinatorics problem.
81729
Combinatorial proof of $\sum_{k=0}^{n}(-1)^{k}\binom{n}{k}(l-k)^n=n!$, using inclusion-exclusion
14046
Problem about a process with bins of balls