Why does n choose k always yield a whole number?
30136
Proof that a Combination is an integer
37051
Choosing numbers without consecutive numbers.
144079
Find Total number of ways out of N Number taking K numbers every M interval
142534
Proof of $k {n\choose k} = n {n-1 \choose k-1}$ using direct proof
53179
Combinations, when placing n objects into k boxes, each box has its own size and the order in them doesn't matter?
101116
Why can't I calculate the result of the birthday paradox using `n choose k`?
100640
K out of N encryption
130640
Chance of selecting the last k pages in correct order from a set of n pages
155697
Why are the randomly generated numbers not random?
123955
How to compute $\sum\limits_{k=0}^n (-1)^k{2n-k\choose k}$?
6366
Combinatorial proof of summation of $\sum\limits_{k = 0}^n {n \choose k}^2= {2n \choose n}$
89611
Combinations of selecting $n$ objects with $k$ different types
44484
Combinatorial identity $i{n \choose i } =n {n-1 \choose i - 1}$
62371
Expected number of times a set of 10 integers (selected from 1-100) is selected before all 100 are seen
55199
Number Theory in a Choice-less World
70282
Help finding a combinatorial proof of $k {n \choose k } = n {n - 1 \choose k -1}$
92784
Intuitive (combinatorial) proof of $2^n=\sum_{k=0}^n {n\choose k}$