How many possible ways are there to seat down 20 men and 20 women on a bench of length 40, such that no two women are adjacent?
6378
How many ways to arrange people on a bench so that no woman sits next to another woman?
136848
Find the number of nonzero elements
74310
In how many ways can a committee of $4$ people be selected from a club of $6$ men and $9$ women?
137072
Number Of Distinct Paths In A Rectangular Grid
134698
Number of columns
106397
Counting ways to partition a set into fixed number of subsets
79493
Probability of 3 people in a room of 30 having the same birthday
906
Pigeonhole Principle Question - Group of 6 people, do 3 either know each other or not?
146098
Number of nonempty subsets of a set with $n$ elements
80239
Distribute 25 roses among friends, so that each one has at least 1 rose, and none has more than 7?
139039
Stars and Bars Combinatorics Problem
35005
Difficult variation of the committee problem
59419
Crafty solutions to the following limit
123137
Recursion: putting people into groups of 1 or 2
108941
Combinatorics Question Asking How Many Integer Solutions Given Different Restrictions
120095
How many ways to split n elements in k groups?
150281
Am I on the right track to figure out this combinatorics problem?