Number of even and odd subsets
5049
Proving $\sum_{k=0}^n(-1)^k\binom nk=0$
65764
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
155690
Recurrences for even and odd indexed of Fibonacci Numbers
72767
Center of the dihedral group with odd and even number of vertices
88628
Proving the total number of subsets of S is equal to $2^n$
86263
How do we show there are the same number of elements in each of the sets?
116251
Number of distinct total orders on a set
18953
Prove that even + odd is odd.
117862
Number of partitions of an $n$-element set into $k$ classes
99634
$\binom{n}{1},\binom{n}{2},\ldots ,\binom{n}{n-1}$ are all even numbers.
86067
A Variation of the even-town odd-town problem
144821
Number of ordered pairs of subsets
134440
An unexpected application of non-trivial combinatorics
26569
Counting binary operations on a set with $n$ elements
45672
Even/Odd Binomial Coefficients
60309
Let X be a subset of {1,2,...,2014}...
102510
Count number of subsets of 3 elements either disjoint or whose intersection is a singleton