There are 40 men and 40 women. In how many ways can you pick a board of 31 people that has a majority of women?
9196
In how many ways can a $31$ member management be selected from $40$ men and $40$ women so that there is a majority of women?
68882
Path to Combinatorics Problem [$1.11$]
19843
if there are 4 different tables and 18 people, how many ways can the people be seated to have at least 4 in each table?
31476
How many teams of 5 players can be chosen from a group of 10 players? How many teams will include the best player and exclude the worst player?
11679
Selecting a security team that includes at most one of the oldest man or oldest woman
155966
Expected number of ratio of girls vs boys birth
121871
In how many ways can 5 boys and 3 girls be seated in a row such that no two girls are together?
100093
How many people can be in the same holodeck program at the same time?
22542
In how many inequivalent ways can 8 people be seated at a round table?
101664
In how many different ways can you split $10$ people into two groups of $5$ people?
138893
Scheduling a team based activity with 10 different teams and X different games. Every team must meet each other ONCE but never twice,
147901
Show that, in a group of n people, everyone has the same number of friends if..
94141
$20$ people are sitting around a (circular) table. How many ways can we choose $3$ people, no two of whom are neighbors?
123137
Recursion: putting people into groups of 1 or 2
111035
Chess Master Problem
24299
Combinations - 17 women and 21 men to form a committee of size 7
150281
Am I on the right track to figure out this combinatorics problem?