Proof for number of ways to select k non-consecutive elements from n consecutive terms.
24091
How many ways can $r$ nonconsecutive integers be chosen from the first $n$ integers?
128350
Number of non-decreasing functions between two finite sets
102136
How many subsets contain no consecutive elements?
1507
The product of $n$ consecutive integers is divisible by $n$ factorial
57746
Prove that, for any set of consecutive integers with an odd number of terms, the sum of the integers is always a multiple of the number of terms.
24212
proving how many permutations exist.
97314
Counting nearly-sorted permutations
57221
counting the number of elements in a conjugacy class of $S_n$
9522
Proving $k \binom{n}{k} = n \binom{n-1}{k-1}$
156383
Proving a combinatorial identity without double counting
89611
Combinations of selecting $n$ objects with $k$ different types
9411
Number of permutations of $n$ elements where no number $i$ is in position $i$
57954
How many transitive relations on a set of $n$ elements?
37331
Prove that every set with more than one element has a permutation without fixed points
138178
Proving the number of iterations in the Euclidean algorithm
96169
$n$ divides a product of $n$ consecutive integers (by $n$ divides one of them)
4061
Proving there are infinitely many pairs of square-full consecutive integers