Number of binary words with a length of $n$, with $m$ 1s and at least $k$ 0s between 1s
110856
Number of ways to select $K$ people from $N$ people such that at least $r$ people are there in between them
42795
Number of bit strings with 3 consecutive zeros or 4 consecutive 1s
109920
Ordered binary sequences of length n with no two consecutive 0's without using recursion
107010
How many elements of order $k$ are in $S_n$?
6432
How many ways can N elements be partitioned into subsets of size K?
61602
Binary strings (words) proof
117761
When is $\binom{n}{k}$ divisible by $n$?
132118
Computing the $n^{\textrm{th}}$ permutation of bits.
76725
Finding all length-n words on an alphabet that have a specified number of each letter
123407
Combinatorics - binary - very interesting question
97314
Counting nearly-sorted permutations
658
Huffman Encoding Proof Probability and Length
63571
The Mississipi counting problem, this time in circle
25283
Intermediate Text in Combinatorics?
120744
How many $n\times m$ binary matrices are there, up to row and column permutations?
12803
Proof for number of weak compositions
56898
Number of monomials of certain degree